72290468322 has 54 divisors (see below), whose sum is σ = 158189372523. Its totient is φ = 23859174024.

The previous prime is 72290468281. The next prime is 72290468339. The reversal of 72290468322 is 22386409227.

72290468322 is a `hidden beast` number, since 72 + 2 + 90 + 468 + 32 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36145234161 + 36145234161 = 190119^2 + 190119^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190119.

It is a super-3 number, since 3×72290468322³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 144870429 + ... + 144870927.

Almost surely, 2^72290468322 is an apocalyptic number.

72290468322 is an abundant number, since it is smaller than the sum of its proper divisors (85898904201).

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

72290468322 is an equidigital number, since it uses as much as digits as its factorization.

72290468322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 72290468322 in words is "seventy-two billion, two hundred ninety million, four hundred sixty-eight thousand, three hundred twenty-two".