223752 has 16 divisors (see below), whose sum is σ = 559440. Its totient is φ = 74576.

The previous prime is 223747. The next prime is 223753. The reversal of 223752 is 257322.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 223752.

It is not an unprimeable number, because it can be changed into a prime (223753) by changing a digit.

223752 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, 4638 + ... + 4685.

It is an arithmetic number, because the mean of its divisors is an integer number (34965).

2²²³⁷⁵² is an apocalyptic number.

It is an amenable number.

223752 is an abundant number, since it is smaller than the sum of its proper divisors (335688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223752 is a wasteful number, since it uses less digits than its factorization.

223752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9332 (or 9328 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 223752 is about 473.0243122716. The cubic root of 223752 is about 60.7093582424.

The spelling of 223752 in words is "two hundred twenty-three thousand, seven hundred fifty-two".