212272 has 10 divisors (see below), whose sum is σ = 411308. Its totient is φ = 106128.

The previous prime is 212243. The next prime is 212281. The reversal of 212272 is 272212.

212272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 13267 = 212272 / (2 + 1 + 2 + 2 + 7 + 2).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6618 + ... + 6649.

2²¹²²⁷² is an apocalyptic number.

It is an amenable number.

212272 is a deficient number, since it is larger than the sum of its proper divisors (199036).

212272 is a wasteful number, since it uses less digits than its factorization.

212272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13275 (or 13269 counting only the distinct ones).

The product of its digits is 112, while the sum is 16.

The square root of 212272 is about 460.7298557723. The cubic root of 212272 is about 59.6528096711.

Adding to 212272 its reverse (272212), we get a palindrome (484484).

It can be divided in two parts, 212 and 272, that added together give a palindrome (484).

The spelling of 212272 in words is "two hundred twelve thousand, two hundred seventy-two", and thus it is an iban number.