24872 has 8 divisors (see below), whose sum is σ = 46650. Its totient is φ = 12432.

The previous prime is 24859. The next prime is 24877. The reversal of 24872 is 27842.

24872 = T₃₃ + T₃₄ + ... + T₅₆.

It can be written as a sum of positive squares in only one way, i.e., 23716 + 1156 = 154^2 + 34^2 .

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

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (24877) by changing a digit.

24872 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1547 + ... + 1562.

2²⁴⁸⁷² is an apocalyptic number.

It is an amenable number.

24872 is a deficient number, since it is larger than the sum of its proper divisors (21778).

24872 is a wasteful number, since it uses less digits than its factorization.

24872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3111 counting only the distinct ones).

The product of its digits is 896, while the sum is 23.

The square root of 24872 is about 157.7085920297. The cubic root of 24872 is about 29.1901887348.

The spelling of 24872 in words is "twenty-four thousand, eight hundred seventy-two".