72272671660640 has 192 divisors, whose sum is σ = 188388709286400. Its totient is φ = 25983175680000.

The previous prime is 72272671660627. The next prime is 72272671660661. The reversal of 72272671660640 is 4606617627227.

It is a happy number.

72272671660640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55430936 + ... + 56719784.

It is an arithmetic number, because the mean of its divisors is an integer number (981191194200).

Almost surely, 2^{72272671660640} 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 72272671660640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94194354643200).

72272671660640 is an abundant number, since it is smaller than the sum of its proper divisors (116116037625760).

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

72272671660640 is a wasteful number, since it uses less digits than its factorization.

72272671660640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289237 (or 1289229 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 56.

The spelling of 72272671660640 in words is "seventy-two trillion, two hundred seventy-two billion, six hundred seventy-one million, six hundred sixty thousand, six hundred forty".