79218 has 24 divisors (see below), whose sum is σ = 179088. Its totient is φ = 26244.

The previous prime is 79201. The next prime is 79229. The reversal of 79218 is 81297.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1008) is a multiple of the sum of its prime divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 79191 and 79200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (7462).

2⁷⁹²¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89544).

79218 is an abundant number, since it is smaller than the sum of its proper divisors (99870).

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

79218 is a wasteful number, since it uses less digits than its factorization.

79218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 79218 is about 281.4569238800. The cubic root of 79218 is about 42.9478365115.

Subtracting from 79218 its product of digits (1008), we obtain a triangular number (78210 = T₃₉₅).

The spelling of 79218 in words is "seventy-nine thousand, two hundred eighteen".