72337331 has 16 divisors (see below), whose sum is σ = 81997920. Its totient is φ = 63233280.

The previous prime is 72337327. The next prime is 72337333. The reversal of 72337331 is 13373327.

It is a happy number.

It is not a de Polignac number, because 72337331 - 2² = 72337327 is a prime.

It is a super-2 number, since 2×72337331² = 10465378912407122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72337294 and 72337303.

It is not an unprimeable number, because it can be changed into a prime (72337333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35225 + ... + 37221.

It is an arithmetic number, because the mean of its divisors is an integer number (5124870).

Almost surely, 2^72337331 is an apocalyptic number.

72337331 is a deficient number, since it is larger than the sum of its proper divisors (9660589).

72337331 is a wasteful number, since it uses less digits than its factorization.

72337331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134.

The product of its digits is 7938, while the sum is 29.

The square root of 72337331 is about 8505.1355662329. The cubic root of 72337331 is about 416.6654532942.

The spelling of 72337331 in words is "seventy-two million, three hundred thirty-seven thousand, three hundred thirty-one".