43992 has 48 divisors (see below), whose sum is σ = 131040. Its totient is φ = 13248.

The previous prime is 43991. The next prime is 43997. The reversal of 43992 is 29934.

It is a super-3 number, since 3×43992³ = 255412633342464, which contains 333 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1944) is a multiple of the sum of its prime factors (72).

It is a nialpdrome in base 9.

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 43992.

It is not an unprimeable number, because it can be changed into a prime (43991) 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, 913 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (2730).

2⁴³⁹⁹² 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 43992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520).

43992 is an abundant number, since it is smaller than the sum of its proper divisors (87048).

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

43992 is a wasteful number, since it uses less digits than its factorization.

43992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 65 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 43992 is about 209.7426995154. The cubic root of 43992 is about 35.3013436185.

It can be divided in two parts, 43 and 992, that added together give a triangular number (1035 = T₄₅).

The spelling of 43992 in words is "forty-three thousand, nine hundred ninety-two".