72496584 has 24 divisors (see below), whose sum is σ = 196345110. Its totient is φ = 24165504.

The previous prime is 72496577. The next prime is 72496601. The reversal of 72496584 is 48569427.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 66879684 + 5616900 = 8178^2 + 2370^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 503377 + ... + 503520.

Almost surely, 2^72496584 is an apocalyptic number.

It is an amenable number.

72496584 is an abundant number, since it is smaller than the sum of its proper divisors (123848526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72496584 is a wasteful number, since it uses less digits than its factorization.

72496584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006909 (or 1006902 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 72496584 is about 8514.4925861733. The cubic root of 72496584 is about 416.9709967234.

The spelling of 72496584 in words is "seventy-two million, four hundred ninety-six thousand, five hundred eighty-four".