72157796352 has 336 divisors, whose sum is σ = 229126945320. Its totient is φ = 22629777408.

The previous prime is 72157796303. The next prime is 72157796393. The reversal of 72157796352 is 25369775127.

72157796352 is a `hidden beast` number, since 7 + 2 + 1 + 577 + 9 + 63 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 25379443 + ... + 25382285.

Almost surely, 2^72157796352 is an apocalyptic number.

72157796352 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 72157796352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114563472660).

72157796352 is an abundant number, since it is smaller than the sum of its proper divisors (156969148968).

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

72157796352 is an equidigital number, since it uses as much as digits as its factorization.

72157796352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2865 counting only the distinct ones).

The product of its digits is 5556600, while the sum is 54.

The spelling of 72157796352 in words is "seventy-two billion, one hundred fifty-seven million, seven hundred ninety-six thousand, three hundred fifty-two".