A shaving razor that improves stability, corresponding user control and offers a closer shave is provided. The shaving razor can include a razor handle configuration that reduces the propensity for the shaving razor to roll in a user's hand and improves the maneuverability of the razor cartridge during shaving. In addition, the shaving razor can include a biasing pivoting member producing a progressively increasing return torque on the razor cartridge that forces the cartridge into flat contact with the skin thus improving glide and shaving closeness.