24730272 has 240 divisors, whose sum is σ = 87816960. Its totient is φ = 6676992.

The previous prime is 24730261. The next prime is 24730331. The reversal of 24730272 is 27203742.

It is a super-2 number, since 2×24730272² = 1223172706387968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 526153 + ... + 526199.

It is an arithmetic number, because the mean of its divisors is an integer number (365904).

Almost surely, 2^24730272 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 24730272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43908480).

24730272 is an abundant number, since it is smaller than the sum of its proper divisors (63086688).

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

24730272 is a wasteful number, since it uses less digits than its factorization.

24730272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 24730272 is about 4972.9540516679. The cubic root of 24730272 is about 291.3463831508.

The spelling of 24730272 in words is "twenty-four million, seven hundred thirty thousand, two hundred seventy-two".