74168 has 16 divisors (see below), whose sum is σ = 142080. Its totient is φ = 36288.

The previous prime is 74167. The next prime is 74177. The reversal of 74168 is 86147.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 7³ + 4⁸ + 1 + 6⁵ + 8³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74161) 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, 521 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (8880).

2⁷⁴¹⁶⁸ is an apocalyptic number.

It is an amenable number.

74168 is a deficient number, since it is larger than the sum of its proper divisors (67912).

74168 is a wasteful number, since it uses less digits than its factorization.

74168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 202 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 74168 is about 272.3380252554. The cubic root of 74168 is about 42.0151117201.

It can be divided in two parts, 74 and 168, that added together give a palindrome (242).

The spelling of 74168 in words is "seventy-four thousand, one hundred sixty-eight".