A multistage radial turbocompressor has at least first, second, and third intake parts each forming a respective intake spaced along an axis and first, second, and third output parts each forming a respective output axially juxtaposed with the respective intakes. Respective first, second, and third fans having axially directed vanes are rotatable in the housing formed by the parts between the intakes and outputs. A shaft centered on the axis carries the first, second, and third fans. One of the fans is back-to-back with another of the fans with the vanes of the one fan facing axially oppositely away from the vanes of the other of the fans. Radial bearings support the shaft in the housing, and an axial bearing between the one fan and the other fan supports the shaft in the housing.