72585057 has 8 divisors (see below), whose sum is σ = 100117440. Its totient is φ = 46721360.

The previous prime is 72585049. The next prime is 72585067. The reversal of 72585057 is 75058527.

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

It is a cyclic number.

It is not a de Polignac number, because 72585057 - 2³ = 72585049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72585067) 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, 417069 + ... + 417242.

It is an arithmetic number, because the mean of its divisors is an integer number (12514680).

Almost surely, 2^72585057 is an apocalyptic number.

It is an amenable number.

72585057 is a deficient number, since it is larger than the sum of its proper divisors (27532383).

72585057 is a wasteful number, since it uses less digits than its factorization.

72585057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834343.

The product of its (nonzero) digits is 98000, while the sum is 39.

The square root of 72585057 is about 8519.6864378919. The cubic root of 72585057 is about 417.1405480609.

The spelling of 72585057 in words is "seventy-two million, five hundred eighty-five thousand, fifty-seven".