72272000503152 has 200 divisors, whose sum is σ = 215289633523536. Its totient is φ = 23389368689664.

The previous prime is 72272000503141. The next prime is 72272000503177. The reversal of 72272000503152 is 25130500027227.

72272000503152 is a `hidden beast` number, since 72 + 2 + 72 + 0 + 0 + 0 + 503 + 15 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20779908 + ... + 24007260.

Almost surely, 2^{72272000503152} is an apocalyptic number.

72272000503152 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 72272000503152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107644816761768).

72272000503152 is an abundant number, since it is smaller than the sum of its proper divisors (143017633020384).

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

72272000503152 is a wasteful number, since it uses less digits than its factorization.

72272000503152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227877 (or 3227862 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 72272000503152 in words is "seventy-two trillion, two hundred seventy-two billion, five hundred three thousand, one hundred fifty-two".