75288 has 16 divisors (see below), whose sum is σ = 188280. Its totient is φ = 25088.

The previous prime is 75277. The next prime is 75289. The reversal of 75288 is 88257.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75289) by changing a digit.

75288 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, 1545 + ... + 1592.

2⁷⁵²⁸⁸ is an apocalyptic number.

It is an amenable number.

75288 is an abundant number, since it is smaller than the sum of its proper divisors (112992).

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 (94140).

75288 is a wasteful number, since it uses less digits than its factorization.

75288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3142 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 75288 is about 274.3865885935. The cubic root of 75288 is about 42.2255440087.

It can be divided in two parts, 75 and 288, that added together give a palindrome (363).

The spelling of 75288 in words is "seventy-five thousand, two hundred eighty-eight".