72800541684 has 54 divisors (see below), whose sum is σ = 199268166006. Its totient is φ = 22400164800.

The previous prime is 72800541581. The next prime is 72800541707. The reversal of 72800541684 is 48614500827.

72800541684 is a `hidden beast` number, since 7 + 28 + 0 + 0 + 541 + 6 + 84 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2517229584 + 70283312100 = 50172^2 + 265110^2 .

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 17 ways as a sum of consecutive naturals, for example, 5976867 + ... + 5989034.

Almost surely, 2^72800541684 is an apocalyptic number.

It is an amenable number.

72800541684 is an abundant number, since it is smaller than the sum of its proper divisors (126467624322).

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

72800541684 is a wasteful number, since it uses less digits than its factorization.

72800541684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11965937 (or 11965919 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 72800541684 in words is "seventy-two billion, eight hundred million, five hundred forty-one thousand, six hundred eighty-four".