216272 has 20 divisors (see below), whose sum is σ = 479136. Its totient is φ = 92640.

The previous prime is 216263. The next prime is 216289. The reversal of 216272 is 272612.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 216272.

It is an unprimeable number.

216272 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, 854 + ... + 1077.

2²¹⁶²⁷² is an apocalyptic number.

It is an amenable number.

216272 is an abundant number, since it is smaller than the sum of its proper divisors (262864).

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

216272 is a wasteful number, since it uses less digits than its factorization.

216272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1940 counting only the distinct ones).

The product of its digits is 336, while the sum is 20.

The square root of 216272 is about 465.0505348884. The cubic root of 216272 is about 60.0251746210.

Adding to 216272 its reverse (272612), we get a palindrome (488884).

The spelling of 216272 in words is "two hundred sixteen thousand, two hundred seventy-two".