72497698688 has 128 divisors (see below), whose sum is σ = 159247296000. Its totient is φ = 32722348032.

The previous prime is 72497698661. The next prime is 72497698723. The reversal of 72497698688 is 88689679427.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15491933 + ... + 15496611.

It is an arithmetic number, because the mean of its divisors is an integer number (1244119500).

Almost surely, 2^72497698688 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 72497698688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79623648000).

72497698688 is an abundant number, since it is smaller than the sum of its proper divisors (86749597312).

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

72497698688 is a wasteful number, since it uses less digits than its factorization.

72497698688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 5000 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 74.

The spelling of 72497698688 in words is "seventy-two billion, four hundred ninety-seven million, six hundred ninety-eight thousand, six hundred eighty-eight".