72668585 has 8 divisors (see below), whose sum is σ = 95129856. Its totient is φ = 52849840.

The previous prime is 72668579. The next prime is 72668587. The reversal of 72668585 is 58586627.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72668585 - 2⁸ = 72668329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72668587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 660569 + ... + 660678.

It is an arithmetic number, because the mean of its divisors is an integer number (11891232).

Almost surely, 2^72668585 is an apocalyptic number.

It is an amenable number.

72668585 is a deficient number, since it is larger than the sum of its proper divisors (22461271).

72668585 is a wasteful number, since it uses less digits than its factorization.

72668585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321263.

The product of its digits is 806400, while the sum is 47.

The square root of 72668585 is about 8524.5870867744. The cubic root of 72668585 is about 417.3004963128.

It can be divided in two parts, 7266 and 8585, that added together give a palindrome (15851).

The spelling of 72668585 in words is "seventy-two million, six hundred sixty-eight thousand, five hundred eighty-five".