72135938 has 24 divisors (see below), whose sum is σ = 126179532. Its totient is φ = 30839424.

The previous prime is 72135911. The next prime is 72135949. The reversal of 72135938 is 83953127.

It can be written as a sum of positive squares in 2 ways, for example, as 65820769 + 6315169 = 8113^2 + 2513^2 .

It is a super-2 number, since 2×72135938² = 10407187102279688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59870 + ... + 61062.

Almost surely, 2^72135938 is an apocalyptic number.

72135938 is a deficient number, since it is larger than the sum of its proper divisors (54043594).

72135938 is a wasteful number, since it uses less digits than its factorization.

72135938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1819 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 72135938 is about 8493.2878203909. The cubic root of 72135938 is about 416.2784170796.

The spelling of 72135938 in words is "seventy-two million, one hundred thirty-five thousand, nine hundred thirty-eight".