72523585 has 16 divisors (see below), whose sum is σ = 90959616. Its totient is φ = 55456128.

The previous prime is 72523579. The next prime is 72523631. The reversal of 72523585 is 58532527.

It is a cyclic number.

It is not a de Polignac number, because 72523585 - 2⁷ = 72523457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6517 + ... + 13693.

It is an arithmetic number, because the mean of its divisors is an integer number (5684976).

Almost surely, 2^72523585 is an apocalyptic number.

It is an amenable number.

72523585 is a deficient number, since it is larger than the sum of its proper divisors (18436031).

72523585 is a wasteful number, since it uses less digits than its factorization.

72523585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7272.

The product of its digits is 84000, while the sum is 37.

The square root of 72523585 is about 8516.0780292339. The cubic root of 72523585 is about 417.0227565710.

It can be divided in two parts, 725 and 23585, that added together give a triangular number (24310 = T₂₂₀).

The spelling of 72523585 in words is "seventy-two million, five hundred twenty-three thousand, five hundred eighty-five".