72859688016 has 80 divisors (see below), whose sum is σ = 192528344064. Its totient is φ = 23732387712.

The previous prime is 72859688003. The next prime is 72859688129. The reversal of 72859688016 is 61088695827.

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 15 ways as a sum of consecutive naturals, for example, 1425495 + ... + 1475721.

Almost surely, 2^72859688016 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 72859688016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96264172032).

72859688016 is an abundant number, since it is smaller than the sum of its proper divisors (119668656048).

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

72859688016 is a wasteful number, since it uses less digits than its factorization.

72859688016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50928 (or 50922 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 72859688016 in words is "seventy-two billion, eight hundred fifty-nine million, six hundred eighty-eight thousand, sixteen".