4032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (42).
It is a nialpdrome in base 2, base 4, base 8 and base 16.
It is a zygodrome in base 2, base 4 and base 8.
It is a congruent number.
It is an unprimeable number.
4032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
4032 is a gapful number since it is divisible by the number (42) 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 4032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4032 is a wasteful number, since it uses less digits than its factorization.
4032 is an evil number, because the sum of its binary digits is even.
The square root of 4032 is about 63.4980314656. The cubic root of 4032 is about 15.9162288316.
Adding to 4032 its reverse (2304), we get a palindrome (6336).
Subtracting from 4032 its reverse (2304), we obtain a cube (1728 = 123).
The spelling of 4032 in words is "four thousand, thirty-two", and thus it is an eban number.