18752 has 14 divisors (see below), whose sum is σ = 37338. Its totient is φ = 9344.

The previous prime is 18749. The next prime is 18757. The reversal of 18752 is 25781.

It can be written as a sum of positive squares in only one way, i.e., 18496 + 256 = 136^2 + 16^2 .

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 18752.

It is not an unprimeable number, because it can be changed into a prime (18757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83 + ... + 210.

It is an arithmetic number, because the mean of its divisors is an integer number (2667).

2¹⁸⁷⁵² is an apocalyptic number.

It is an amenable number.

18752 is a deficient number, since it is larger than the sum of its proper divisors (18586).

18752 is an equidigital number, since it uses as much as digits as its factorization.

18752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its digits is 560, while the sum is 23.

The square root of 18752 is about 136.9379421490. The cubic root of 18752 is about 26.5674087814.

The spelling of 18752 in words is "eighteen thousand, seven hundred fifty-two".