72356256000 has 864 divisors, whose sum is σ = 313379539200. Its totient is φ = 15659827200.

The previous prime is 72356255989. The next prime is 72356256029. The reversal of 72356256000 is 65265327.

It is a happy number.

72356256000 is a `hidden beast` number, since 7 + 2 + 35 + 62 + 560 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38303056 + ... + 38304944.

It is an arithmetic number, because the mean of its divisors is an integer number (362707800).

Almost surely, 2^72356256000 is an apocalyptic number.

72356256000 is a gapful number since it is divisible by the number (70) 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 72356256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156689769600).

72356256000 is an abundant number, since it is smaller than the sum of its proper divisors (241023283200).

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

72356256000 is a wasteful number, since it uses less digits than its factorization.

72356256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 72356256000 in words is "seventy-two billion, three hundred fifty-six million, two hundred fifty-six thousand".