72907854364800 has 2304 divisors, whose sum is σ = 343304820835200. Its totient is φ = 14966587883520.

The previous prime is 72907854364771. The next prime is 72907854364819. The reversal of 72907854364800 is 846345870927.

72907854364800 is a `hidden beast` number, since 7 + 2 + 9 + 0 + 7 + 8 + 543 + 6 + 4 + 80 + 0 = 666.

It is a super-2 number, since 2×72907854364800² (a number of 29 digits) contains 22 as substring.

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

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 287 ways as a sum of consecutive naturals, for example, 2036343699 + ... + 2036379501.

Almost surely, 2^{72907854364800} is an apocalyptic number.

72907854364800 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 72907854364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171652410417600).

72907854364800 is an abundant number, since it is smaller than the sum of its proper divisors (270396966470400).

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

72907854364800 is a wasteful number, since it uses less digits than its factorization.

72907854364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35900 (or 35870 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 72907854364800 in words is "seventy-two trillion, nine hundred seven billion, eight hundred fifty-four million, three hundred sixty-four thousand, eight hundred".