10032 has 40 divisors (see below), whose sum is σ = 29760. Its totient is φ = 2880.

The previous prime is 10009. The next prime is 10037. The reversal of 10032 is 23001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 10032.

It is not an unprimeable number, because it can be changed into a prime (10037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 519 + ... + 537.

It is an arithmetic number, because the mean of its divisors is an integer number (744).

2¹⁰⁰³² is an apocalyptic number.

10032 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 10032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14880).

10032 is an abundant number, since it is smaller than the sum of its proper divisors (19728).

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

10032 is a wasteful number, since it uses less digits than its factorization.

10032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 10032 is about 100.1598722044. The cubic root of 10032 is about 21.5673030678.

Adding to 10032 its reverse (23001), we get a palindrome (33033).

The spelling of 10032 in words is "ten thousand, thirty-two".