78168 has 16 divisors (see below), whose sum is σ = 195480. Its totient is φ = 26048.

The previous prime is 78167. The next prime is 78173. The reversal of 78168 is 86187.

It is a super-2 number, since 2×78168² = 12220472448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78163) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1605 + ... + 1652.

2⁷⁸¹⁶⁸ is an apocalyptic number.

It is an amenable number.

78168 is an abundant number, since it is smaller than the sum of its proper divisors (117312).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97740).

78168 is a wasteful number, since it uses less digits than its factorization.

78168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3262 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 78168 is about 279.5854073445. The cubic root of 78168 is about 42.7572403181.

The spelling of 78168 in words is "seventy-eight thousand, one hundred sixty-eight".