522272 has 24 divisors (see below), whose sum is σ = 1083600. Its totient is φ = 247104.

The previous prime is 522259. The next prime is 522281. The reversal of 522272 is 272225.

It is an unprimeable number.

522272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179 + ... + 1037.

It is an arithmetic number, because the mean of its divisors is an integer number (45150).

2⁵²²²⁷² 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 522272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541800).

522272 is an abundant number, since it is smaller than the sum of its proper divisors (561328).

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

522272 is a wasteful number, since it uses less digits than its factorization.

522272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 880 counting only the distinct ones).

The product of its digits is 560, while the sum is 20.

The square root of 522272 is about 722.6838866337. The cubic root of 522272 is about 80.5314615396.

Adding to 522272 its reverse (272225), we get a palindrome (794497).

Subtracting from 522272 its reverse (272225), we obtain a cube (250047 = 63³).

The spelling of 522272 in words is "five hundred twenty-two thousand, two hundred seventy-two".