The rotary grinder (1) has a hollow cylindrical binding band (2), where multiple milling chisels (3,5a) are arranged on the outer circumferential surface of the binding band. A frontal milling chisel is arranged on the binding band in the area of front side. The milling chisel is provided for cutting the collision area between the front side and the ground material to be machined. An independent claim is also included for a ground milling machine with an operator stand.