Razor equipped with several rotating shaving heads

A razor that includes a handle having an axis, at least a first and a second shaving head, and a drum that includes the first and second shaving head. The drum is pivotally mounted onto the handle about an axis substantially perpendicular to the edges of the blades, the pivoting of the drum allowing at least a first configuration in which the first shaving head projects at a front end of the handle to allow shaving while the second shaving head is at least partly covered by the handle. In a second configuration, the positions of the first shaving head and second shaving head are reversed.