I think op just meant that it was towed for an arbitrary time limit that was not defined. If they said a vehicle must be moved at least once a week there would be no complaint or confusion in the situation. I am down voting your comment because name calling did not add to the discussion for me.
Obviously, private parking lots don't usually have this kind of rules, and you can leave your car as long as you want, assuming of course that you pay for it. If you have your own private parking spot, you can also leave it there. This 72 hour rule only applies to public street parking.
I don't know about Seattle but in NYC there are street-cleaning rules that prevent you from leaving a car in one spot for more than several days, so that a street cleaner can come through.
More residential areas don't have this, though. Some homes have driveways and some buildings have garages. There's always a paid garage nearby or airport parking.