24552 has 48 divisors (see below), whose sum is σ = 74880. Its totient is φ = 7200.

The previous prime is 24551. The next prime is 24571. The reversal of 24552 is 25542.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (24551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 777 + ... + 807.

It is an arithmetic number, because the mean of its divisors is an integer number (1560).

2²⁴⁵⁵² is an apocalyptic number.

24552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37440).

24552 is an abundant number, since it is smaller than the sum of its proper divisors (50328).

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

24552 is a wasteful number, since it uses less digits than its factorization.

24552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 47 counting only the distinct ones).

The product of its digits is 400, while the sum is 18.

The square root of 24552 is about 156.6907782864. The cubic root of 24552 is about 29.0644622331.

Subtracting 24552 from its reverse (25542), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 24 and 552, that added together give a square (576 = 24²).

The spelling of 24552 in words is "twenty-four thousand, five hundred fifty-two".