Vaduz is the capital city of Liechtenstein and has a population of 5,005, but not its largest city: Schaan is slightly larger. Still, it's home to the Prince's castle and his museums, and thus the main point of interest for visitors to this small country which is a shame because it is a rather disappointing hodge-podge of unattractive modern buildings, cranes and farmland. It may technically be a European capital but it is unlikely to interest a tourist for any length of time.
* Note: Room prices change constantly. You should check the latest availability as in many cases the room price can be even lower than the listed price on the LastBeds website.