72585584 has 10 divisors (see below), whose sum is σ = 140634600. Its totient is φ = 36292784.

The previous prime is 72585581. The next prime is 72585587. The reversal of 72585584 is 48558527.

It is an interprime number because it is at equal distance from previous prime (72585581) and next prime (72585587).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72585581) by changing a digit.

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 as a sum of consecutive naturals, namely, 2268284 + ... + 2268315.

It is an arithmetic number, because the mean of its divisors is an integer number (14063460).

Almost surely, 2^72585584 is an apocalyptic number.

It is an amenable number.

72585584 is a deficient number, since it is larger than the sum of its proper divisors (68049016).

72585584 is a wasteful number, since it uses less digits than its factorization.

72585584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536607 (or 4536601 counting only the distinct ones).

The product of its digits is 448000, while the sum is 44.

The square root of 72585584 is about 8519.7173662041. The cubic root of 72585584 is about 417.1415576008.

The spelling of 72585584 in words is "seventy-two million, five hundred eighty-five thousand, five hundred eighty-four".