A rotary electric shaver includes a handle assembly having a housing, a motor disposed in the housing, a drive shaft operatively connected to the motor and extending through the housing, and a socket for securing a shaver head thereto. The shaver head assembly includes a coupling for detachable coupling to the socket. The coupling is configured to allow the shaver head to be detachably coupled to the handle assembly in at least two different orientations of the shaver head relative to the handle assembly.