24782272 has 28 divisors (see below), whose sum is σ = 49580800. Its totient is φ = 12289536.

The previous prime is 24782257. The next prime is 24782273. The reversal of 24782272 is 27228742.

24782272 is an admirable number.

It is a super-2 number, since 2×24782272² = 1228322010963968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24782273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6604 + ... + 9652.

Almost surely, 2^24782272 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 24782272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24790400).

24782272 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

24782272 is a wasteful number, since it uses less digits than its factorization.

24782272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3178 counting only the distinct ones).

The product of its digits is 25088, while the sum is 34.

The square root of 24782272 is about 4978.1795869575. The cubic root of 24782272 is about 291.5504435258.

The spelling of 24782272 in words is "twenty-four million, seven hundred eighty-two thousand, two hundred seventy-two".