72220317082172 has 96 divisors (see below), whose sum is σ = 150014615224320. Its totient is φ = 29769441370560.

The previous prime is 72220317082169. The next prime is 72220317082181. The reversal of 72220317082172 is 27128071302227.

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, 1116563729 + ... + 1116628407.

It is an arithmetic number, because the mean of its divisors is an integer number (1562652241920).

Almost surely, 2^{72220317082172} 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 72220317082172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75007307612160).

72220317082172 is an abundant number, since it is smaller than the sum of its proper divisors (77794298142148).

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

72220317082172 is a wasteful number, since it uses less digits than its factorization.

72220317082172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72591 (or 72589 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 44.

Adding to 72220317082172 its reverse (27128071302227), we get a palindrome (99348388384399).

The spelling of 72220317082172 in words is "seventy-two trillion, two hundred twenty billion, three hundred seventeen million, eighty-two thousand, one hundred seventy-two".