72800628056184 has 256 divisors, whose sum is σ = 218493705830400. Its totient is φ = 19773414194688.

The previous prime is 72800628056161. The next prime is 72800628056197. The reversal of 72800628056184 is 48165082600827.

72800628056184 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 673358659 + ... + 673466765.

It is an arithmetic number, because the mean of its divisors is an integer number (853491038400).

Almost surely, 2^{72800628056184} 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 72800628056184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109246852915200).

72800628056184 is an abundant number, since it is smaller than the sum of its proper divisors (145693077774216).

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

72800628056184 is a wasteful number, since it uses less digits than its factorization.

72800628056184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110282 (or 110278 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 72800628056184 in words is "seventy-two trillion, eight hundred billion, six hundred twenty-eight million, fifty-six thousand, one hundred eighty-four".