72100899337056 has 192 divisors, whose sum is σ = 205389539308800. Its totient is φ = 22057038397440.

The previous prime is 72100899337021. The next prime is 72100899337069. The reversal of 72100899337056 is 65073399800127.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132682995 + ... + 133225293.

It is an arithmetic number, because the mean of its divisors is an integer number (1069737183900).

Almost surely, 2^{72100899337056} 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 72100899337056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102694769654400).

72100899337056 is an abundant number, since it is smaller than the sum of its proper divisors (133288639971744).

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

72100899337056 is a wasteful number, since it uses less digits than its factorization.

72100899337056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544357 (or 544349 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 72100899337056 in words is "seventy-two trillion, one hundred billion, eight hundred ninety-nine million, three hundred thirty-seven thousand, fifty-six".