75888 has 60 divisors (see below), whose sum is σ = 232128. Its totient is φ = 23040.

The previous prime is 75883. The next prime is 75913. The reversal of 75888 is 88857.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2433 + ... + 2463.

2⁷⁵⁸⁸⁸ 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 75888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116064).

75888 is an abundant number, since it is smaller than the sum of its proper divisors (156240).

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

75888 is a wasteful number, since it uses less digits than its factorization.

75888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 53 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 75888 is about 275.4777667980. The cubic root of 75888 is about 42.3374180585.

The spelling of 75888 in words is "seventy-five thousand, eight hundred eighty-eight".