There's two types, though. The big brown bush cockroaches seem clean and pretty smart, and I really don't mind them. The shiny black ones (some with white dots) that infest your white goods? Those are filthy.
Germany, Austria, Slovakia, Switzerland. We saw very few when we were living right next to a forest. In a city, it meant you either have bad neighbours (could be a construction site across the street), or your place is filthy :)
Friends at university said they have plenty in dorms, but a visit made it self-explanatory.
Inside the US, they seem to be present in large numbers in the deep south (FL through TX). Are they present in the southwest as well?
Here in DC, we get them, but generally only in homes that aren't kept clean - which can a problem in large apartment buildings, as it only takes one slovenly neighbor or poorly tended garbage area to let a colony grow and become a visible nuisance.
And what about Europe? Probably too cold in most of the continent, but present in Mediterranean regions?
"And what about Europe? Probably too cold in most of the continent, but present in Mediterranean regions?"
As with other areas they live in or near garbage areas, but as far as I can tell not as common as one could think. I don't recall seeing any for example during garbage collecting emergencies.
They could be present in homes though, especially old ones where small cracks in concrete or wood can offer a place to hide. That was the case of a 4th floor apartment I lived in over 30 years back where we were never able to find the source of those bastards. That wasn't an invasion, just 2 or 3 a week, so we weren't that pressured to call for someone to eradicate them.
The solution came totally unexpected: one day my father brought a cat into that house and from that moment although we keep finding those 2 or 3 cockroaches per week, they were dead. Some time passed by, and one day I found the cat scratching near a baseboard corner; he just found the small crack the roaches used to live in and killed all those coming out of it. We sealed the crack and never saw a cockroach after that.
I moved two times since then, and although my father kept that cat, I soon got two, and besides being wonderful companions, they kill anything entering the house uninvited, including bigger nasty mosquitos.
Apparently, apartment blocks in Russia used to have a massive cockroach problem in the 90s, but then they all suddenly completely disappeared in 2000s and never came back. Nobody seems to know why.
A little fun anecdata from the US, I've noticed cockroaches get much bigger the further south you go: Upper Midwest, Michigan, Ohio, the biggest cockroaches get up to about one inch. Central Midwest, southern Kansas/Missouri/Illinois, two inches. Texas and the gulf? Three inches.
I lived in Italy for two years. At some point I had them in my appartment. It was not too hard to get rid of them using some poison.... Apparently they had come from the appartment next to me or that is what the landlady said....