72584 has 16 divisors (see below), whose sum is σ = 139920. Its totient is φ = 35280.

The previous prime is 72577. The next prime is 72613. The reversal of 72584 is 48527.

It is an Ulam number.

It is a plaindrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 239 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (8745).

2⁷²⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

72584 is a deficient number, since it is larger than the sum of its proper divisors (67336).

72584 is a wasteful number, since it uses less digits than its factorization.

72584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 72584 is about 269.4141792854. The cubic root of 72584 is about 41.7138523219.

It can be divided in two parts, 72 and 584, that added together give a palindrome (656).

The spelling of 72584 in words is "seventy-two thousand, five hundred eighty-four".