Various cross sections of the p+natPb reaction are calculated in the 5- to 300-MeV energy region based on nuclear reaction models, i.e., the optical, evaporation, and exciton models, and direct reaction theory. Comparison of the calculated results with the experimental data shows that our calculations are quite reasonable. Excitation functions of some long-lived radioactive nuclei and neutron multiplicity are predicted. For medium-energy, proton-induced natPb fission, an empirical formula is developed.