72589689172 has 216 divisors, whose sum is σ = 184843995840. Its totient is φ = 24568427520.

The previous prime is 72589689169. The next prime is 72589689197. The reversal of 72589689172 is 27198698527.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6188329 + ... + 6200047.

It is an arithmetic number, because the mean of its divisors is an integer number (855759240).

Almost surely, 2^72589689172 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 72589689172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92421997920).

72589689172 is an abundant number, since it is smaller than the sum of its proper divisors (112254306668).

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

72589689172 is a wasteful number, since it uses less digits than its factorization.

72589689172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11791 (or 11769 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 64.

The spelling of 72589689172 in words is "seventy-two billion, five hundred eighty-nine million, six hundred eighty-nine thousand, one hundred seventy-two".