72397472716800 has 4320 divisors, whose sum is σ = 344939473242000. Its totient is φ = 14837553561600.

The previous prime is 72397472716763. The next prime is 72397472716823. The reversal of 72397472716800 is 861727479327.

72397472716800 is a `hidden beast` number, since 7 + 2 + 3 + 97 + 472 + 71 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 991746201564 + ... + 991746201636.

Almost surely, 2^{72397472716800} is an apocalyptic number.

72397472716800 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 72397472716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172469736621000).

72397472716800 is an abundant number, since it is smaller than the sum of its proper divisors (272542000525200).

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

72397472716800 is an equidigital number, since it uses as much as digits as its factorization.

72397472716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 72397472716800 in words is "seventy-two trillion, three hundred ninety-seven billion, four hundred seventy-two million, seven hundred sixteen thousand, eight hundred".