72522027112752 has 480 divisors, whose sum is σ = 260823890131200. Its totient is φ = 19173505655808.

The previous prime is 72522027112741. The next prime is 72522027112811. The reversal of 72522027112752 is 25721172022527.

72522027112752 is a `hidden beast` number, since 7 + 2 + 522 + 0 + 2 + 7 + 112 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72522027112698 and 72522027112707.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15197548 + ... + 19390964.

It is an arithmetic number, because the mean of its divisors is an integer number (543383104440).

Almost surely, 2^{72522027112752} is an apocalyptic number.

72522027112752 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 72522027112752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130411945065600).

72522027112752 is an abundant number, since it is smaller than the sum of its proper divisors (188301863018448).

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

72522027112752 is a wasteful number, since it uses less digits than its factorization.

72522027112752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193510 (or 4193491 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 72522027112752 in words is "seventy-two trillion, five hundred twenty-two billion, twenty-seven million, one hundred twelve thousand, seven hundred fifty-two".