72591365 has 32 divisors (see below), whose sum is σ = 109105920. Its totient is φ = 45043200.

The previous prime is 72591347. The next prime is 72591371. The reversal of 72591365 is 56319527.

It is a happy number.

It is not a de Polignac number, because 72591365 - 2⁶ = 72591301 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157235 + ... + 157695.

It is an arithmetic number, because the mean of its divisors is an integer number (3409560).

Almost surely, 2^72591365 is an apocalyptic number.

It is an amenable number.

72591365 is a deficient number, since it is larger than the sum of its proper divisors (36514555).

72591365 is a wasteful number, since it uses less digits than its factorization.

72591365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893.

The product of its digits is 56700, while the sum is 38.

The square root of 72591365 is about 8520.0566312672. The cubic root of 72591365 is about 417.1526315689.

The spelling of 72591365 in words is "seventy-two million, five hundred ninety-one thousand, three hundred sixty-five".