43752 has 16 divisors (see below), whose sum is σ = 109440. Its totient is φ = 14576.

The previous prime is 43721. The next prime is 43753. The reversal of 43752 is 25734.

It is a happy number.

43752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 43752.

It is not an unprimeable number, because it can be changed into a prime (43753) by changing a digit.

43752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 888 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2⁴³⁷⁵² is an apocalyptic number.

It is an amenable number.

43752 is an abundant number, since it is smaller than the sum of its proper divisors (65688).

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 (54720).

43752 is a wasteful number, since it uses less digits than its factorization.

43752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1828 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 43752 is about 209.1697874933. The cubic root of 43752 is about 35.2370305892.

The spelling of 43752 in words is "forty-three thousand, seven hundred fifty-two".