72689723484672 has 640 divisors, whose sum is σ = 231961953484800. Its totient is φ = 19794351882240.

The previous prime is 72689723484667. The next prime is 72689723484689. The reversal of 72689723484672 is 27648432798627.

It is a junction number, because it is equal to n+sod(n) for n = 72689723484594 and 72689723484603.

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, 12410740368 + ... + 12410746224.

It is an arithmetic number, because the mean of its divisors is an integer number (362440552320).

Almost surely, 2^{72689723484672} 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 72689723484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115980976742400).

72689723484672 is an abundant number, since it is smaller than the sum of its proper divisors (159272230000128).

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

72689723484672 is a wasteful number, since it uses less digits than its factorization.

72689723484672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6572 (or 6556 counting only the distinct ones).

The product of its digits is 2731180032, while the sum is 75.

The spelling of 72689723484672 in words is "seventy-two trillion, six hundred eighty-nine billion, seven hundred twenty-three million, four hundred eighty-four thousand, six hundred seventy-two".