72217512320 has 256 divisors, whose sum is σ = 192291770880. Its totient is φ = 25795461120.

The previous prime is 72217512317. The next prime is 72217512377. The reversal of 72217512320 is 2321571227.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 32780339 + ... + 32782541.

It is an arithmetic number, because the mean of its divisors is an integer number (751139730).

Almost surely, 2^72217512320 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 72217512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96145885440).

72217512320 is an abundant number, since it is smaller than the sum of its proper divisors (120074258560).

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

72217512320 is a wasteful number, since it uses less digits than its factorization.

72217512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The spelling of 72217512320 in words is "seventy-two billion, two hundred seventeen million, five hundred twelve thousand, three hundred twenty".