72332509599360 has 384 divisors, whose sum is σ = 264989435443200. Its totient is φ = 18129586987008.

The previous prime is 72332509599349. The next prime is 72332509599373. The reversal of 72332509599360 is 6399590523327.

72332509599360 is a `hidden beast` number, since 7 + 2 + 3 + 3 + 2 + 5 + 0 + 9 + 599 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11296782 + ... + 16500978.

It is an arithmetic number, because the mean of its divisors is an integer number (690076654800).

Almost surely, 2^{72332509599360} 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 72332509599360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132494717721600).

72332509599360 is an abundant number, since it is smaller than the sum of its proper divisors (192656925843840).

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

72332509599360 is a wasteful number, since it uses less digits than its factorization.

72332509599360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204368 (or 5204353 counting only the distinct ones).

The product of its (nonzero) digits is 82668600, while the sum is 63.

The spelling of 72332509599360 in words is "seventy-two trillion, three hundred thirty-two billion, five hundred nine million, five hundred ninety-nine thousand, three hundred sixty".