225752 has 8 divisors (see below), whose sum is σ = 423300. Its totient is φ = 112872.

The previous prime is 225751. The next prime is 225767. The reversal of 225752 is 257522.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14102 + ... + 14117.

2²²⁵⁷⁵² is an apocalyptic number.

It is an amenable number.

225752 is a deficient number, since it is larger than the sum of its proper divisors (197548).

225752 is a wasteful number, since it uses less digits than its factorization.

225752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28225 (or 28221 counting only the distinct ones).

The product of its digits is 1400, while the sum is 23.

The square root of 225752 is about 475.1336654037. The cubic root of 225752 is about 60.8897048412.

It can be divided in two parts, 22575 and 2, that multiplied together give a triangular number (45150 = T₃₀₀).

The spelling of 225752 in words is "two hundred twenty-five thousand, seven hundred fifty-two".