In this study, proton total reaction cross sections have been investigated for some isotopes such as (12)C, (27)Al, (9)Be, (16)O, (181)Ta, (197)Au, (6)Li, and (14)N by a proton beam up to 600 MeV. Calculation of the proton total cross sections has been carried out by the analytic expression formulated by M.A. Alvi by using Coulomb-modified Glauber theory with the Helm model nuclear form factor. The obtained results have been discussed and compared with the available experimental data and found to be in agreement with each other.