23752 has 8 divisors (see below), whose sum is σ = 44550. Its totient is φ = 11872.

The previous prime is 23747. The next prime is 23753. The reversal of 23752 is 25732.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 23716 + 36 = 154^2 + 6^2 .

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

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (23753) by changing a digit.

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 as a sum of consecutive naturals, namely, 1477 + ... + 1492.

2²³⁷⁵² is an apocalyptic number.

It is an amenable number.

23752 is a deficient number, since it is larger than the sum of its proper divisors (20798).

23752 is a wasteful number, since it uses less digits than its factorization.

23752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2971 counting only the distinct ones).

The product of its digits is 420, while the sum is 19.

The square root of 23752 is about 154.1168387945. The cubic root of 23752 is about 28.7452922348.

Subtracting from 23752 its product of digits (420), we obtain a palindrome (23332).

It can be divided in two parts, 237 and 52, that added together give a square (289 = 17²).

The spelling of 23752 in words is "twenty-three thousand, seven hundred fifty-two".