That is a true Leica II from 1932, first production run: the Leica II series started with 71200 and the first production run ended with serial 101000.
Engravings, paint sheen and vulcanite fitted all are dead give-aways of this camera being genuine.
To those that mistook it for a Russian fake: this camera has nickel trimming that is nicely even and of high quality. Why would any Russian camera be de-chromed (usually crudely down to the brass) and subsequently re-plated in nickel? Also: the engravings on a Leica were filled with white Woods Metal, which over time wore out leaving the adjacent paint afflicted. The engravings on old, pre-war black-paint Leica's as a result have a very specific look, like this camera has. These characteristics can be faked but not so that it would also be profitable.
As said, the shutter release threads on and as such can be replaced. And, the VF window is the correct one, the Russian camera's have the flat square front that reaches up to the top plate. As said above, the one Russian model (early FED) that had the same VF window is so rare, it's likely worth more than a Leica.
Question to the OP: if the lens is numbered (small number engravings on the front brass ring, right around the lens element), what is the number? The lens usually is earlier in production date than the body, often approx. one year. If camera and lens are approx. a year apart, this may increase the chance of it being an original combo. No effect on usability etc but it's a nice extra to this lovely camera and lens kit.
Mine is similar and I love it!