It's designed to be printed on its back, with no supports.

The included STL file fits a Mach3 razor.

The SCAD file can be modified to fit other razor types as needed.

The stand is fairly lightweight but it's designed to hold the razor above the center of the base. If you need additional stability, you could add weights to the base or increase the area of the base.

Update: I've added a heavier version of the stand, and also altered the source code to allow for a thicker base.

Also added a model for a Schick Quattro.