72516874752 has 320 divisors, whose sum is σ = 253789113600. Its totient is φ = 20003880960.

The previous prime is 72516874751. The next prime is 72516874753. The reversal of 72516874752 is 25747861527.

72516874752 is a `hidden beast` number, since 7 + 2 + 5 + 168 + 7 + 475 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (72516874751) and next prime (72516874753).

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

It is not an unprimeable number, because it can be changed into a prime (72516874751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2793352 + ... + 2819192.

It is an arithmetic number, because the mean of its divisors is an integer number (793090980).

Almost surely, 2^72516874752 is an apocalyptic number.

72516874752 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 72516874752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126894556800).

72516874752 is an abundant number, since it is smaller than the sum of its proper divisors (181272238848).

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

72516874752 is a wasteful number, since it uses less digits than its factorization.

72516874752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25904 (or 25882 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The spelling of 72516874752 in words is "seventy-two billion, five hundred sixteen million, eight hundred seventy-four thousand, seven hundred fifty-two".