24672 has 24 divisors (see below), whose sum is σ = 65016. Its totient is φ = 8192.

The previous prime is 24671. The next prime is 24677. The reversal of 24672 is 27642.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

24672 is an undulating number in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24671) by changing a digit.

In principle, a polygon with 24672 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33 + ... + 224.

It is an arithmetic number, because the mean of its divisors is an integer number (2709).

2²⁴⁶⁷² is an apocalyptic number.

It is an amenable number.

24672 is an abundant number, since it is smaller than the sum of its proper divisors (40344).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32508).

24672 is a wasteful number, since it uses less digits than its factorization.

24672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 24672 is about 157.0732313286. The cubic root of 24672 is about 29.1117369785. Note that the first 3 decimals are identical.

It can be divided in two parts, 24 and 672, that added together give a palindrome (696).

The spelling of 24672 in words is "twenty-four thousand, six hundred seventy-two".