75532 has 12 divisors (see below), whose sum is σ = 138096. Its totient is φ = 36080.

The previous prime is 75527. The next prime is 75533. The reversal of 75532 is 23557.

It is a d-powerful number, because it can be written as 7² + 5² + 5² + 3¹⁰ + 2¹⁴ .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (75533) by changing a digit.

75532 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, 319 + ... + 502.

It is an arithmetic number, because the mean of its divisors is an integer number (11508).

2⁷⁵⁵³² is an apocalyptic number.

It is an amenable number.

75532 is a deficient number, since it is larger than the sum of its proper divisors (62564).

75532 is a wasteful number, since it uses less digits than its factorization.

75532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 846 counting only the distinct ones).

The product of its digits is 1050, while the sum is 22.

The square root of 75532 is about 274.8308570739. The cubic root of 75532 is about 42.2711109092.

It can be divided in two parts, 755 and 32, that added together give a palindrome (787).

The spelling of 75532 in words is "seventy-five thousand, five hundred thirty-two".