43152 has 40 divisors (see below), whose sum is σ = 119040. Its totient is φ = 13440.

The previous prime is 43151. The next prime is 43159. The reversal of 43152 is 25134.

43152 is nontrivially palindromic in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 43152.

It is not an unprimeable number, because it can be changed into a prime (43151) by changing a digit.

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, 1377 + ... + 1407.

It is an arithmetic number, because the mean of its divisors is an integer number (2976).

2⁴³¹⁵² 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 43152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59520).

43152 is an abundant number, since it is smaller than the sum of its proper divisors (75888).

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

43152 is a wasteful number, since it uses less digits than its factorization.

43152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 65 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 43152 is about 207.7305947616. The cubic root of 43152 is about 35.0752124080.

Adding to 43152 its reverse (25134), we get a palindrome (68286).

The spelling of 43152 in words is "forty-three thousand, one hundred fifty-two".