72170832384 has 320 divisors, whose sum is σ = 244963488000. Its totient is φ = 20551532544.

The previous prime is 72170832361. The next prime is 72170832413. The reversal of 72170832384 is 48323807127.

72170832384 is a `hidden beast` number, since 72 + 170 + 8 + 32 + 384 = 666.

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, 33770964 + ... + 33773100.

It is an arithmetic number, because the mean of its divisors is an integer number (765510900).

Almost surely, 2^72170832384 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 72170832384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122481744000).

72170832384 is an abundant number, since it is smaller than the sum of its proper divisors (172792655616).

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

72170832384 is a wasteful number, since it uses less digits than its factorization.

72170832384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 72170832384 in words is "seventy-two billion, one hundred seventy million, eight hundred thirty-two thousand, three hundred eighty-four".