43872 has 24 divisors (see below), whose sum is σ = 115416. Its totient is φ = 14592.
The previous prime is 43867. The next prime is 43889. The reversal of 43872 is 27834.
43872 is nontrivially palindromic in base 15.
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 (24).
It is an alternating number because its digits alternate between even and odd.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133 + ... + 324.
It is an arithmetic number, because the mean of its divisors is an integer number (4809).
243872 is an apocalyptic number.
It is an amenable number.
43872 is an abundant number, since it is smaller than the sum of its proper divisors (71544).
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 (57708).
43872 is a wasteful number, since it uses less digits than its factorization.
43872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 470 (or 462 counting only the distinct ones).
The product of its digits is 1344, while the sum is 24.
The square root of 43872 is about 209.4564393854. The cubic root of 43872 is about 35.2692164224.
The spelling of 43872 in words is "forty-three thousand, eight hundred seventy-two".
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