24272 has 20 divisors (see below), whose sum is σ = 49476. Its totient is φ = 11520.

The previous prime is 24251. The next prime is 24281. The reversal of 24272 is 27242.

It can be written as a sum of positive squares in 2 ways, for example, as 10816 + 13456 = 104^2 + 116^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 24272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 572 + ... + 612.

2²⁴²⁷² is an apocalyptic number.

It is an amenable number.

24272 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.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24738).

24272 is a wasteful number, since it uses less digits than its factorization.

24272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

The product of its digits is 224, while the sum is 17.

The square root of 24272 is about 155.7947367532. The cubic root of 24272 is about 28.9535522819.

It can be divided in two parts, 242 and 72, that multiplied together give a square (17424 = 132²).

The spelling of 24272 in words is "twenty-four thousand, two hundred seventy-two", and thus it is an iban number.