7532 has 12 divisors (see below), whose sum is σ = 15120. Its totient is φ = 3216.

The previous prime is 7529. The next prime is 7537. The reversal of 7532 is 2357.

7532 is an admirable number.

It is a plaindrome in base 9.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 7532.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7532.

It is not an unprimeable number, because it can be changed into a prime (7537) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107 + ... + 162.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2⁷⁵³² is an apocalyptic number.

It is an amenable number.

7532 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (7560).

7532 is a wasteful number, since it uses less digits than its factorization.

7532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 278 counting only the distinct ones).

The product of its digits is 210, while the sum is 17.

The square root of 7532 is about 86.7870958150. The cubic root of 7532 is about 19.6021377649.

Adding to 7532 its reverse (2357), we get a palindrome (9889).

The spelling of 7532 in words is "seven thousand, five hundred thirty-two".