Made by DWM [duh!] Deutsche Waffen und Munitionsfabriken
[sic] and in seeming outstanding condition. Have you stripped it yet to see if all numbers match? Last two digits should be on the marked pieces. Pay special attention to the magazine base and the trigger plate. They seem to be the most mismatched.
7.65 is most commonly a commercial pistol; military Luger production stopped in 1942. I don't believe DWM was even in business by then. If found in a WW II setting, it would require more detail to come up with an explanation of why it was not issued or what its intended use was...
Pile on as much details as you know about it. Any accessories? Do you still have the greasy paper???
Commercial proof on left side receiver; no military proofs on right. Markings on bottom of barrel???