72688275947520 has 432 divisors, whose sum is σ = 265247842663440. Its totient is φ = 18363325612032.

The previous prime is 72688275947489. The next prime is 72688275947593. The reversal of 72688275947520 is 2574957288627.

72688275947520 is a `hidden beast` number, since 7 + 2 + 6 + 8 + 8 + 2 + 7 + 5 + 94 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111742252 + ... + 112390868.

It is an arithmetic number, because the mean of its divisors is an integer number (613999635795).

Almost surely, 2^{72688275947520} 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 72688275947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132623921331720).

72688275947520 is an abundant number, since it is smaller than the sum of its proper divisors (192559566715920).

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

72688275947520 is an equidigital number, since it uses as much as digits as its factorization.

72688275947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648681 (or 648646 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 72688275947520 in words is "seventy-two trillion, six hundred eighty-eight billion, two hundred seventy-five million, nine hundred forty-seven thousand, five hundred twenty".