72689584 has 20 divisors (see below), whose sum is σ = 153639720. Its totient is φ = 33040640.

The previous prime is 72689581. The next prime is 72689609. The reversal of 72689584 is 48598627.

It is not an unprimeable number, because it can be changed into a prime (72689581) 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, 206329 + ... + 206680.

It is an arithmetic number, because the mean of its divisors is an integer number (7681986).

Almost surely, 2^72689584 is an apocalyptic number.

It is an amenable number.

72689584 is an abundant number, since it is smaller than the sum of its proper divisors (80950136).

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

72689584 is a wasteful number, since it uses less digits than its factorization.

72689584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413028 (or 413022 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

The square root of 72689584 is about 8525.8186703683. The cubic root of 72689584 is about 417.3406881380.

The spelling of 72689584 in words is "seventy-two million, six hundred eighty-nine thousand, five hundred eighty-four".