74008 has 24 divisors (see below), whose sum is σ = 156780. Its totient is φ = 32480.

The previous prime is 73999. The next prime is 74017. The reversal of 74008 is 80047.

It is a happy number.

74008 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (73999) and next prime (74017).

It is an Ulam number.

It is a plaindrome in base 13 and base 15.

It is a congruent number.

It is an unprimeable number.

74008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2538 + ... + 2566.

2⁷⁴⁰⁰⁸ 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 74008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78390).

74008 is an abundant number, since it is smaller than the sum of its proper divisors (82772).

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

74008 is a wasteful number, since it uses less digits than its factorization.

74008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 74008 is about 272.0441140698. The cubic root of 74008 is about 41.9848773976.

The spelling of 74008 in words is "seventy-four thousand, eight".