A replaceable filter has a filter housing with a cylindrical connecting end. A housing lid has a cylindrical counter connecting member matching the cylindrical connecting end. A filter closure system seal-tightly connects by form fit the cylindrical connecting end and the cylindrical counter connecting member when the connecting end is inserted or pushed onto the counter connecting member in an axial connecting direction and moved relative to the counter connecting member. An annular member is arranged coaxially relative to the connecting end and has a terminal edge area that is connected seal-tightly to the filter housing such that the annular member and the connecting end define a receptacle for the cylindrical counter connecting member. A sealing device is arranged in the receptacle and connected to the filter housing. The sealing device interacts with the counter connecting member.