72465985 has 32 divisors (see below), whose sum is σ = 97293312. Its totient is φ = 51532800.

The previous prime is 72465979. The next prime is 72466039. The reversal of 72465985 is 58956427.

It is not a de Polignac number, because 72465985 - 2³ = 72465977 is a prime.

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, 197272 + ... + 197638.

It is an arithmetic number, because the mean of its divisors is an integer number (3040416).

Almost surely, 2^72465985 is an apocalyptic number.

It is an amenable number.

72465985 is a deficient number, since it is larger than the sum of its proper divisors (24827327).

72465985 is a wasteful number, since it uses less digits than its factorization.

72465985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513.

The product of its digits is 604800, while the sum is 46.

The square root of 72465985 is about 8512.6955190468. The cubic root of 72465985 is about 416.9123241151.

It can be divided in two parts, 7246 and 5985, that added together give a palindrome (13231).

The spelling of 72465985 in words is "seventy-two million, four hundred sixty-five thousand, nine hundred eighty-five".