72800927375904 has 576 divisors, whose sum is σ = 265143002552064. Its totient is φ = 19134660243456.

The previous prime is 72800927375903. The next prime is 72800927375929. The reversal of 72800927375904 is 40957372900827.

72800927375904 is a `hidden beast` number, since 7 + 2 + 8 + 0 + 0 + 9 + 2 + 7 + 37 + 590 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (72800927375903) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 207155922 + ... + 207507054.

It is an arithmetic number, because the mean of its divisors is an integer number (460317712764).

Almost surely, 2^{72800927375904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72800927375904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132571501276032).

72800927375904 is an abundant number, since it is smaller than the sum of its proper divisors (192342075176160).

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

72800927375904 is a wasteful number, since it uses less digits than its factorization.

72800927375904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351471 (or 351451 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 72800927375904 in words is "seventy-two trillion, eight hundred billion, nine hundred twenty-seven million, three hundred seventy-five thousand, nine hundred four".