72517585 has 16 divisors (see below), whose sum is σ = 104688000. Its totient is φ = 47108736.

The previous prime is 72517583. The next prime is 72517589. The reversal of 72517585 is 58571527.

It is a cyclic number.

It is not a de Polignac number, because 72517585 - 2¹ = 72517583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72517583) 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, 53860 + ... + 55189.

It is an arithmetic number, because the mean of its divisors is an integer number (6543000).

Almost surely, 2^72517585 is an apocalyptic number.

It is an amenable number.

72517585 is a deficient number, since it is larger than the sum of its proper divisors (32170415).

72517585 is a wasteful number, since it uses less digits than its factorization.

72517585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109080.

The product of its digits is 98000, while the sum is 40.

The square root of 72517585 is about 8515.7257471105. The cubic root of 72517585 is about 417.0112559190.

The spelling of 72517585 in words is "seventy-two million, five hundred seventeen thousand, five hundred eighty-five".