16032 has 24 divisors (see below), whose sum is σ = 42336. Its totient is φ = 5312.

The previous prime is 16007. The next prime is 16033. The reversal of 16032 is 23061.

16032 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 (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 15999 and 16017.

It is not an unprimeable number, because it can be changed into a prime (16033) by changing a digit.

16032 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 13 + ... + 179.

It is an arithmetic number, because the mean of its divisors is an integer number (1764).

2¹⁶⁰³² is an apocalyptic number.

16032 is a gapful number since it is divisible by the number (12) 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 16032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168).

16032 is an abundant number, since it is smaller than the sum of its proper divisors (26304).

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

16032 is a wasteful number, since it uses less digits than its factorization.

16032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 16032 is about 126.6175343308. The cubic root of 16032 is about 25.2152087584.

Adding to 16032 its reverse (23061), we get a palindrome (39093).

The spelling of 16032 in words is "sixteen thousand, thirty-two".