72338520 has 32 divisors (see below), whose sum is σ = 217015920. Its totient is φ = 19290240.

The previous prime is 72338509. The next prime is 72338521. The reversal of 72338520 is 2583327.

It is a super-2 number, since 2×72338520² = 10465722951580800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72338521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301291 + ... + 301530.

Almost surely, 2^72338520 is an apocalyptic number.

It is an amenable number.

72338520 is an abundant number, since it is smaller than the sum of its proper divisors (144677400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72338520 is a wasteful number, since it uses less digits than its factorization.

72338520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602835 (or 602831 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 72338520 is about 8505.2054648903. The cubic root of 72338520 is about 416.6677361750.

It can be divided in two parts, 7233 and 8520, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 72338520 in words is "seventy-two million, three hundred thirty-eight thousand, five hundred twenty".