76288 has 20 divisors (see below), whose sum is σ = 153450. Its totient is φ = 37888.

The previous prime is 76283. The next prime is 76289. The reversal of 76288 is 88267.

It can be written as a sum of positive squares in only one way, i.e., 73984 + 2304 = 272^2 + 48^2 .

It is not an unprimeable number, because it can be changed into a prime (76283) by changing a digit.

76288 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 as a sum of consecutive naturals, namely, 438 + ... + 586.

2⁷⁶²⁸⁸ 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 76288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76725).

76288 is an abundant number, since it is smaller than the sum of its proper divisors (77162).

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

76288 is an equidigital number, since it uses as much as digits as its factorization.

76288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 76288 is about 276.2028240261. The cubic root of 76288 is about 42.4116735390.

The spelling of 76288 in words is "seventy-six thousand, two hundred eighty-eight".