72338517 has 12 divisors (see below), whose sum is σ = 104626080. Its totient is φ = 48162408.

The previous prime is 72338509. The next prime is 72338521. The reversal of 72338517 is 71583327.

It is not a de Polignac number, because 72338517 - 2³ = 72338509 is a prime.

It is a super-2 number, since 2×72338517² = 10465722083518578, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72338507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2584 + ... + 12302.

It is an arithmetic number, because the mean of its divisors is an integer number (8718840).

Almost surely, 2^72338517 is an apocalyptic number.

It is an amenable number.

72338517 is a deficient number, since it is larger than the sum of its proper divisors (32287563).

72338517 is a wasteful number, since it uses less digits than its factorization.

72338517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10552 (or 10549 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 72338517 is about 8505.2052885277. The cubic root of 72338517 is about 416.6677304151.

The spelling of 72338517 in words is "seventy-two million, three hundred thirty-eight thousand, five hundred seventeen".