23872 has 14 divisors (see below), whose sum is σ = 47498. Its totient is φ = 11904.

The previous prime is 23869. The next prime is 23873. The reversal of 23872 is 27832.

It is a happy number.

23872 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 20736 + 3136 = 144^2 + 56^2 .

It is an alternating number because its digits alternate between even and odd.

It is a pancake number, because a pancake can be divided into 23872 parts by 218 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 123 + ... + 250.

2²³⁸⁷² is an apocalyptic number.

It is an amenable number.

23872 is a deficient number, since it is larger than the sum of its proper divisors (23626).

23872 is an equidigital number, since it uses as much as digits as its factorization.

23872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 375 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 23872 is about 154.5056633266. The cubic root of 23872 is about 28.7936199859.

It can be divided in two parts, 2387 and 2, that multiplied together give a palindrome (4774).

The spelling of 23872 in words is "twenty-three thousand, eight hundred seventy-two".