72586557 has 8 divisors (see below), whose sum is σ = 107535680. Its totient is φ = 48391020.

The previous prime is 72586529. The next prime is 72586561. The reversal of 72586557 is 75568527.

It is not a de Polignac number, because 72586557 - 2⁷ = 72586429 is a prime.

It is a super-3 number, since 3×72586557³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72582557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1344169 + ... + 1344222.

It is an arithmetic number, because the mean of its divisors is an integer number (13441960).

Almost surely, 2^72586557 is an apocalyptic number.

It is an amenable number.

72586557 is a deficient number, since it is larger than the sum of its proper divisors (34949123).

72586557 is a wasteful number, since it uses less digits than its factorization.

72586557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688400 (or 2688394 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 72586557 is about 8519.7744688460. The cubic root of 72586557 is about 417.1434215013.

The spelling of 72586557 in words is "seventy-two million, five hundred eighty-six thousand, five hundred fifty-seven".