7032 has 16 divisors (see below), whose sum is σ = 17640. Its totient is φ = 2336.

The previous prime is 7027. The next prime is 7039. The reversal of 7032 is 2307.

7032 is nontrivially palindromic in base 5.

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

It is a d-powerful number, because it can be written as 7³ + 3⁸ + 0 + 2⁷ .

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 6999 and 7017.

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 7032.

It is not an unprimeable number, because it can be changed into a prime (7039) by changing a digit.

7032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123 + ... + 170.

2⁷⁰³² is an apocalyptic number.

It is an amenable number.

7032 is an abundant number, since it is smaller than the sum of its proper divisors (10608).

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 (8820).

7032 is a wasteful number, since it uses less digits than its factorization.

7032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 7032 is about 83.8570211729. The cubic root of 7032 is about 19.1584169496.

Adding to 7032 its reverse (2307), we get a palindrome (9339).

The spelling of 7032 in words is "seven thousand, thirty-two".