224272 has 20 divisors (see below), whose sum is σ = 441936. Its totient is φ = 110240.

The previous prime is 224267. The next prime is 224291. The reversal of 224272 is 272422.

It is a nialpdrome in base 12.

It is an unprimeable number.

224272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1647 + ... + 1777.

2²²⁴²⁷² is an apocalyptic number.

It is an amenable number.

224272 is a deficient number, since it is larger than the sum of its proper divisors (217664).

224272 is a wasteful number, since it uses less digits than its factorization.

224272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its digits is 448, while the sum is 19.

The square root of 224272 is about 473.5736479155. The cubic root of 224272 is about 60.7563514051.

Adding to 224272 its reverse (272422), we get a palindrome (496694).

It can be divided in two parts, 224 and 272, that added together give a triangular number (496 = T₃₁).

The spelling of 224272 in words is "two hundred twenty-four thousand, two hundred seventy-two", and thus it is an iban number.