74268 has 18 divisors (see below), whose sum is σ = 187824. Its totient is φ = 24744.

The previous prime is 74257. The next prime is 74279. The reversal of 74268 is 86247.

It is an interprime number because it is at equal distance from previous prime (74257) and next prime (74279).

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

74268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 996 + ... + 1067.

2⁷⁴²⁶⁸ is an apocalyptic number.

It is an amenable number.

74268 is an abundant number, since it is smaller than the sum of its proper divisors (113556).

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

74268 is a wasteful number, since it uses less digits than its factorization.

74268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2068 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 74268 is about 272.5215587802. The cubic root of 74268 is about 42.0339860967.

The spelling of 74268 in words is "seventy-four thousand, two hundred sixty-eight".