72407660292 has 120 divisors (see below), whose sum is σ = 206629647840. Its totient is φ = 21927507840.

The previous prime is 72407660233. The next prime is 72407660293. The reversal of 72407660292 is 29206670427.

It is not an unprimeable number, because it can be changed into a prime (72407660293) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6363184 + ... + 6374552.

It is an arithmetic number, because the mean of its divisors is an integer number (1721913732).

Almost surely, 2^72407660292 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 72407660292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103314823920).

72407660292 is an abundant number, since it is smaller than the sum of its proper divisors (134221987548).

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

72407660292 is a wasteful number, since it uses less digits than its factorization.

72407660292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13183 (or 13172 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 72407660292 in words is "seventy-two billion, four hundred seven million, six hundred sixty thousand, two hundred ninety-two".