13752 has 24 divisors (see below), whose sum is σ = 37440. Its totient is φ = 4560.

The previous prime is 13751. The next prime is 13757. The reversal of 13752 is 25731.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13752.

It is not an unprimeable number, because it can be changed into a prime (13751) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24 + ... + 167.

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

2¹³⁷⁵² is an apocalyptic number.

13752 is a gapful number since it is divisible by the number (12) 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 13752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18720).

13752 is an abundant number, since it is smaller than the sum of its proper divisors (23688).

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

13752 is a wasteful number, since it uses less digits than its factorization.

13752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 196 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 13752 is about 117.2689217142. The cubic root of 13752 is about 23.9582607853.

The spelling of 13752 in words is "thirteen thousand, seven hundred fifty-two".