72585607 has 4 divisors (see below), whose sum is σ = 73251640. Its totient is φ = 71919576.

The previous prime is 72585599. The next prime is 72585613. The reversal of 72585607 is 70658527.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 72585607 - 2³ = 72585599 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72585607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72585647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 332853 + ... + 333070.

It is an arithmetic number, because the mean of its divisors is an integer number (18312910).

Almost surely, 2^72585607 is an apocalyptic number.

72585607 is a deficient number, since it is larger than the sum of its proper divisors (666033).

72585607 is a wasteful number, since it uses less digits than its factorization.

72585607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666032.

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 72585607 is about 8519.7187160140. The cubic root of 72585607 is about 417.1416016603.

The spelling of 72585607 in words is "seventy-two million, five hundred eighty-five thousand, six hundred seven".