75528 has 24 divisors (see below), whose sum is σ = 204750. Its totient is φ = 25152.

The previous prime is 75527. The next prime is 75533. The reversal of 75528 is 82557.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 26244 = 222^2 + 162^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (75521) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 453 + ... + 596.

2⁷⁵⁵²⁸ is an apocalyptic number.

It is an amenable number.

75528 is an abundant number, since it is smaller than the sum of its proper divisors (129222).

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

75528 is a wasteful number, since it uses less digits than its factorization.

75528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1054 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 75528 is about 274.8235797744. The cubic root of 75528 is about 42.2703647026.

The spelling of 75528 in words is "seventy-five thousand, five hundred twenty-eight".