72972558301104 has 2160 divisors, whose sum is σ = 285910547220480. Its totient is φ = 17262020160000.

The previous prime is 72972558301091. The next prime is 72972558301129. The reversal of 72972558301104 is 40110385527927.

72972558301104 is a `hidden beast` number, since 7 + 2 + 9 + 72 + 558 + 3 + 0 + 1 + 10 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 483261975429 + ... + 483261975579.

Almost surely, 2^{72972558301104} 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 72972558301104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142955273610240).

72972558301104 is an abundant number, since it is smaller than the sum of its proper divisors (212937988919376).

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

72972558301104 is a wasteful number, since it uses less digits than its factorization.

72972558301104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 72972558301104 in words is "seventy-two trillion, nine hundred seventy-two billion, five hundred fifty-eight million, three hundred one thousand, one hundred four".