72631377 has 96 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 37013760.

The previous prime is 72631373. The next prime is 72631397. The reversal of 72631377 is 77313627.

It is not a de Polignac number, because 72631377 - 2² = 72631373 is a prime.

It is a super-2 number, since 2×72631377² = 10550633849832258, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72631373) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 705108 + ... + 705210.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^72631377 is an apocalyptic number.

It is an amenable number.

72631377 is a deficient number, since it is larger than the sum of its proper divisors (66795183).

72631377 is a wasteful number, since it uses less digits than its factorization.

72631377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 72631377 is about 8522.4044142484. The cubic root of 72631377 is about 417.2292616444.

The spelling of 72631377 in words is "seventy-two million, six hundred thirty-one thousand, three hundred seventy-seven".