217360072272 has 80 divisors (see below), whose sum is σ = 642404062080. Its totient is φ = 62037620736.

The previous prime is 217360072213. The next prime is 217360072297. The reversal of 217360072272 is 272270063712.

It is a self number, because there is not a number n which added to its sum of digits gives 217360072272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19197 + ... + 659612.

It is an arithmetic number, because the mean of its divisors is an integer number (8030050776).

Almost surely, 2^217360072272 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 217360072272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321202031040).

217360072272 is an abundant number, since it is smaller than the sum of its proper divisors (425043989808).

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

217360072272 is a wasteful number, since it uses less digits than its factorization.

217360072272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679780 (or 679774 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 217360072272 in words is "two hundred seventeen billion, three hundred sixty million, seventy-two thousand, two hundred seventy-two".