72078888960 has 832 divisors, whose sum is σ = 284464911360. Its totient is φ = 17199267840.

The previous prime is 72078888953. The next prime is 72078888983. The reversal of 72078888960 is 6988887027.

It is a tau number, because it is divible by the number of its divisors (832).

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, 265973625 + ... + 265973895.

Almost surely, 2^72078888960 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 72078888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142232455680).

72078888960 is an abundant number, since it is smaller than the sum of its proper divisors (212386022400).

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

72078888960 is a wasteful number, since it uses less digits than its factorization.

72078888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 72078888960 in words is "seventy-two billion, seventy-eight million, eight hundred eighty-eight thousand, nine hundred sixty".