72041218080 has 384 divisors, whose sum is σ = 251816221440. Its totient is φ = 17199267840.

The previous prime is 72041218027. The next prime is 72041218097. The reversal of 72041218080 is 8081214027.

It is a happy number.

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, 49376391 + ... + 49377849.

It is an arithmetic number, because the mean of its divisors is an integer number (655771410).

Almost surely, 2^72041218080 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 72041218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125908110720).

72041218080 is an abundant number, since it is smaller than the sum of its proper divisors (179775003360).

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

72041218080 is a wasteful number, since it uses less digits than its factorization.

72041218080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 72041218080 in words is "seventy-two billion, forty-one million, two hundred eighteen thousand, eighty".