75088 has 30 divisors (see below), whose sum is σ = 165354. Its totient is φ = 32832.

The previous prime is 75083. The next prime is 75109. The reversal of 75088 is 88057.

It can be written as a sum of positive squares in only one way, i.e., 51984 + 23104 = 228^2 + 152^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75083) by changing a digit.

75088 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 5 ways as a sum of consecutive naturals, for example, 3943 + ... + 3961.

2⁷⁵⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82677).

75088 is an abundant number, since it is smaller than the sum of its proper divisors (90266).

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

75088 is a wasteful number, since it uses less digits than its factorization.

75088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 75088 is about 274.0218969353. The cubic root of 75088 is about 42.1881206127.

It can be divided in two parts, 750 and 88, that added together give a palindrome (838).

The spelling of 75088 in words is "seventy-five thousand, eighty-eight".