72217975680 has 256 divisors, whose sum is σ = 256064716800. Its totient is φ = 19236096000.

The previous prime is 72217975663. The next prime is 72217975699. The reversal of 72217975680 is 8657971227.

It is a happy number.

72217975680 is a `hidden beast` number, since 7 + 2 + 2 + 1 + 79 + 7 + 568 + 0 = 666.

It is a super-2 number, since 2×72217975680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 19887465 + ... + 19891095.

It is an arithmetic number, because the mean of its divisors is an integer number (1000252800).

Almost surely, 2^72217975680 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 72217975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128032358400).

72217975680 is an abundant number, since it is smaller than the sum of its proper divisors (183846741120).

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

72217975680 is a wasteful number, since it uses less digits than its factorization.

72217975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4810 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 72217975680 in words is "seventy-two billion, two hundred seventeen million, nine hundred seventy-five thousand, six hundred eighty".