78288 has 40 divisors (see below), whose sum is σ = 232128. Its totient is φ = 22272.

The previous prime is 78283. The next prime is 78301. The reversal of 78288 is 88287.

It is a super-2 number, since 2×78288² = 12258021888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78283) by changing a digit.

78288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220 + ... + 452.

2⁷⁸²⁸⁸ 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 78288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116064).

78288 is an abundant number, since it is smaller than the sum of its proper divisors (153840).

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

78288 is a wasteful number, since it uses less digits than its factorization.

78288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 78288 is about 279.7999285204. The cubic root of 78288 is about 42.7791087959.

Subtracting 78288 from its reverse (88287), we obtain a palindrome (9999).

The spelling of 78288 in words is "seventy-eight thousand, two hundred eighty-eight".