72431577 has 40 divisors (see below), whose sum is σ = 119598336. Its totient is φ = 43452288.

The previous prime is 72431563. The next prime is 72431587. The reversal of 72431577 is 77513427.

It is not a de Polignac number, because 72431577 - 2⁴ = 72431561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72431507) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30528 + ... + 32814.

Almost surely, 2^72431577 is an apocalyptic number.

It is an amenable number.

72431577 is a deficient number, since it is larger than the sum of its proper divisors (47166759).

72431577 is a wasteful number, since it uses less digits than its factorization.

72431577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2330 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 72431577 is about 8510.6742976100. The cubic root of 72431577 is about 416.8463281389.

It can be divided in two parts, 72 and 431577, that added together give a square (431649 = 657²).

The spelling of 72431577 in words is "seventy-two million, four hundred thirty-one thousand, five hundred seventy-seven".