24721872 has 120 divisors (see below), whose sum is σ = 77691456. Its totient is φ = 6741504.

The previous prime is 24721847. The next prime is 24721877. The reversal of 24721872 is 27812742.

It is a super-2 number, since 2×24721872² = 1222341910368768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24721877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53868 + ... + 54324.

Almost surely, 2^24721872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24721872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38845728).

24721872 is an abundant number, since it is smaller than the sum of its proper divisors (52969584).

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

24721872 is a wasteful number, since it uses less digits than its factorization.

24721872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 492 counting only the distinct ones).

The product of its digits is 12544, while the sum is 33.

The square root of 24721872 is about 4972.1094115074. The cubic root of 24721872 is about 291.3133927230.

The spelling of 24721872 in words is "twenty-four million, seven hundred twenty-one thousand, eight hundred seventy-two".