72904262860800 has 810 divisors, whose sum is σ = 303789000288228. Its totient is φ = 16663790223360.

The previous prime is 72904262860739. The next prime is 72904262860837. The reversal of 72904262860800 is 806826240927.

72904262860800 is a `hidden beast` number, since 7 + 2 + 9 + 0 + 4 + 2 + 6 + 28 + 608 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 180431799 + ... + 180835401.

Almost surely, 2^{72904262860800} is an apocalyptic number.

72904262860800 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 72904262860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151894500144114).

72904262860800 is an abundant number, since it is smaller than the sum of its proper divisors (230884737427428).

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

72904262860800 is a wasteful number, since it uses less digits than its factorization.

72904262860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403661 (or 403620 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 72904262860800 in words is "seventy-two trillion, nine hundred four billion, two hundred sixty-two million, eight hundred sixty thousand, eight hundred".