72102388032 has 224 divisors, whose sum is σ = 226273766400. Its totient is φ = 22447756800.

The previous prime is 72102388027. The next prime is 72102388117. The reversal of 72102388032 is 23088320127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2315607 + ... + 2346537.

Almost surely, 2^72102388032 is an apocalyptic number.

72102388032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72102388032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113136883200).

72102388032 is an abundant number, since it is smaller than the sum of its proper divisors (154171378368).

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

72102388032 is a wasteful number, since it uses less digits than its factorization.

72102388032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31042 (or 31026 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 72102388032 in words is "seventy-two billion, one hundred two million, three hundred eighty-eight thousand, thirty-two".