72685888 has 84 divisors (see below), whose sum is σ = 166676832. Its totient is φ = 31130880.

The previous prime is 72685859. The next prime is 72685903. The reversal of 72685888 is 88858627.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1084831 + ... + 1084897.

It is an arithmetic number, because the mean of its divisors is an integer number (1984248).

Almost surely, 2^72685888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72685888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83338416).

72685888 is an abundant number, since it is smaller than the sum of its proper divisors (93990944).

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

72685888 is a wasteful number, since it uses less digits than its factorization.

72685888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 103 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 52.

The square root of 72685888 is about 8525.6019142346. The cubic root of 72685888 is about 417.3336146013. Note that the first 3 decimals are identical.

The spelling of 72685888 in words is "seventy-two million, six hundred eighty-five thousand, eight hundred eighty-eight".