24752 has 40 divisors (see below), whose sum is σ = 62496. Its totient is φ = 9216.

The previous prime is 24749. The next prime is 24763. The reversal of 24752 is 25742.

It is a super-2 number, since 2×24752² = 1225323008, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2 + 4⁷ + 7² + 5³ + 2¹³ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1448 + ... + 1464.

2²⁴⁷⁵² 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 24752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248).

24752 is an abundant number, since it is smaller than the sum of its proper divisors (37744).

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

24752 is a wasteful number, since it uses less digits than its factorization.

24752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 39 counting only the distinct ones).

The product of its digits is 560, while the sum is 20.

The square root of 24752 is about 157.3276835144. The cubic root of 24752 is about 29.1431683751.

Subtracting 24752 from its reverse (25742), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 2475 and 2, that multiplied together give a triangular number (4950 = T₉₉).

The spelling of 24752 in words is "twenty-four thousand, seven hundred fifty-two".