225772 has 6 divisors (see below), whose sum is σ = 395108. Its totient is φ = 112884.

The previous prime is 225769. The next prime is 225779. The reversal of 225772 is 277522.

225772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28218 + ... + 28225.

2²²⁵⁷⁷² is an apocalyptic number.

It is an amenable number.

225772 is a deficient number, since it is larger than the sum of its proper divisors (169336).

225772 is a wasteful number, since it uses less digits than its factorization.

225772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56447 (or 56445 counting only the distinct ones).

The product of its digits is 1960, while the sum is 25.

The square root of 225772 is about 475.1547116466. The cubic root of 225772 is about 60.8915029178.

It can be divided in two parts, 22577 and 2, that multiplied together give a palindrome (45154).

The spelling of 225772 in words is "two hundred twenty-five thousand, seven hundred seventy-two".