Neither could the Weimar Republic.
> With a bunch of rusty nukes that almost certainly no longer work, and that would get their (relatively few) major population centers vaporized by nukes that almost certainly work just fine?
Even 1% of Russia's arsenal being functional would be a problem, and I can imagine someone taking a gamble on "will Germany/France/England want to take a nuke to the face over the Baltics?"
If you're a Russian officer in charge of nuclear stockpile maintenance, why in the world wouldn't you pencil-whip the paperwork and steal the funding? If you're ever caught, it will be under circumstances where nobody will be in a position to do anything about it.
Also corruption is somewhat accepted in some countries as it allows those at the top to have legitimate means of disposing of traitors when needed without that hassle of drumming up fake charges.
Russia can't even take the country next door. How exactly are they going to attack NATO? With a bunch of rusty nukes that almost certainly no longer work, and that would get their (relatively few) major population centers vaporized by nukes that almost certainly work just fine?