72588065 has 16 divisors (see below), whose sum is σ = 96175296. Its totient is φ = 52152000.

The previous prime is 72588049. The next prime is 72588067. The reversal of 72588065 is 56088527.

It is not a de Polignac number, because 72588065 - 2⁴ = 72588049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72588067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3386 + ... + 12515.

It is an arithmetic number, because the mean of its divisors is an integer number (6010956).

Almost surely, 2^72588065 is an apocalyptic number.

It is an amenable number.

72588065 is a deficient number, since it is larger than the sum of its proper divisors (23587231).

72588065 is a wasteful number, since it uses less digits than its factorization.

72588065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16000.

The product of its (nonzero) digits is 134400, while the sum is 41.

The square root of 72588065 is about 8519.8629683816. The cubic root of 72588065 is about 417.1463102268.

The spelling of 72588065 in words is "seventy-two million, five hundred eighty-eight thousand, sixty-five".