24842272 has 96 divisors (see below), whose sum is σ = 63504000. Its totient is φ = 9289728.

The previous prime is 24842243. The next prime is 24842309. The reversal of 24842272 is 27224842.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55104 + ... + 55552.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 2^24842272 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 24842272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752000).

24842272 is an abundant number, since it is smaller than the sum of its proper divisors (38661728).

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

24842272 is a wasteful number, since it uses less digits than its factorization.

24842272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its digits is 14336, while the sum is 31.

The square root of 24842272 is about 4984.2022430877. The cubic root of 24842272 is about 291.7855434150.

It can be divided in two parts, 2 and 4842272, that multiplied together give a square (9684544 = 3112²).

The spelling of 24842272 in words is "twenty-four million, eight hundred forty-two thousand, two hundred seventy-two".