79288 has 32 divisors (see below), whose sum is σ = 174960. Its totient is φ = 33280.

The previous prime is 79283. The next prime is 79301. The reversal of 79288 is 88297.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1470 + ... + 1522.

2⁷⁹²⁸⁸ 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 79288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87480).

79288 is an abundant number, since it is smaller than the sum of its proper divisors (95672).

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

79288 is a wasteful number, since it uses less digits than its factorization.

79288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 83 counting only the distinct ones).

The product of its digits is 8064, while the sum is 34.

The square root of 79288 is about 281.5812493757. The cubic root of 79288 is about 42.9604828944.

79288 divided by its sum of digits (34) gives a palindrome (2332).

Subtracting 79288 from its reverse (88297), we obtain a palindrome (9009).

It can be divided in two parts, 792 and 88, that multiplied together give a palindrome (69696).

The spelling of 79288 in words is "seventy-nine thousand, two hundred eighty-eight".