72885584 has 20 divisors (see below), whose sum is σ = 146086260. Its totient is φ = 35185920.

The previous prime is 72885583. The next prime is 72885587. The reversal of 72885584 is 48558827.

It can be written as a sum of positive squares in 2 ways, for example, as 15429184 + 57456400 = 3928^2 + 7580^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72885583) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78077 + ... + 79004.

It is an arithmetic number, because the mean of its divisors is an integer number (7304313).

Almost surely, 2^72885584 is an apocalyptic number.

It is an amenable number.

72885584 is an abundant number, since it is smaller than the sum of its proper divisors (73200676).

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

72885584 is a wasteful number, since it uses less digits than its factorization.

72885584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157118 (or 157112 counting only the distinct ones).

The product of its digits is 716800, while the sum is 47.

The square root of 72885584 is about 8537.3054297009. The cubic root of 72885584 is about 417.7154569363.

The spelling of 72885584 in words is "seventy-two million, eight hundred eighty-five thousand, five hundred eighty-four".