24114272 has 96 divisors (see below), whose sum is σ = 59976000. Its totient is φ = 9539712.

The previous prime is 24114253. The next prime is 24114317. The reversal of 24114272 is 27241142.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×24114272² = 1162996228179968, which contains 22 as substring.

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

It is a congruent number.

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, 1854938 + ... + 1854950.

It is an arithmetic number, because the mean of its divisors is an integer number (624750).

Almost surely, 2^24114272 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 24114272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29988000).

24114272 is an abundant number, since it is smaller than the sum of its proper divisors (35861728).

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

24114272 is an frugal number, since it uses more digits than its factorization.

24114272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 22 counting only the distinct ones).

The product of its digits is 896, while the sum is 23.

The square root of 24114272 is about 4910.6284730165. The cubic root of 24114272 is about 288.9069914582.

The spelling of 24114272 in words is "twenty-four million, one hundred fourteen thousand, two hundred seventy-two".