72526367232 has 360 divisors, whose sum is σ = 242615891232. Its totient is φ = 20680704000.

The previous prime is 72526367201. The next prime is 72526367233. The reversal of 72526367232 is 23276362527.

72526367232 is a `hidden beast` number, since 7 + 2 + 5 + 2 + 636 + 7 + 2 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (72526367233) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14646357 + ... + 14651307.

Almost surely, 2^72526367232 is an apocalyptic number.

72526367232 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 72526367232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121307945616).

72526367232 is an abundant number, since it is smaller than the sum of its proper divisors (170089524000).

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

72526367232 is a wasteful number, since it uses less digits than its factorization.

72526367232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 4984 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The spelling of 72526367232 in words is "seventy-two billion, five hundred twenty-six million, three hundred sixty-seven thousand, two hundred thirty-two".