225272 has 16 divisors (see below), whose sum is σ = 437400. Its totient is φ = 108640.

The previous prime is 225263. The next prime is 225287. The reversal of 225272 is 272522.

It is a congruent number.

It is an unprimeable number.

225272 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 (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 254 + ... + 717.

2²²⁵²⁷² is an apocalyptic number.

It is an amenable number.

225272 is a deficient number, since it is larger than the sum of its proper divisors (212128).

225272 is a wasteful number, since it uses less digits than its factorization.

225272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1002 counting only the distinct ones).

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

The square root of 225272 is about 474.6282756010. The cubic root of 225272 is about 60.8465191075.

Adding to 225272 its reverse (272522), we get a palindrome (497794).

It can be divided in two parts, 22527 and 2, that multiplied together give a palindrome (45054).

The spelling of 225272 in words is "two hundred twenty-five thousand, two hundred seventy-two".