[5^(3)], [11^(3)], [19^(1)], [37^(2)]

are the prime factors for the number 4327580125

so the factors that are perfect squares are 5^2, 11^2, 37^2, (5^2*37^2), (5^2*11^2), (11^2*37^2), (5^2*11^2*37^2) **{They are 7 in number}** ie 25, 121, 1369, 3025, 34225, 165649, 4141225.