74004 has 24 divisors (see below), whose sum is σ = 197568. Its totient is φ = 21120.

The previous prime is 73999. The next prime is 74017. The reversal of 74004 is 40047.

74004 = T₁₃₂ + T₁₃₃ + ... + T₁₃₉.

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

74004 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 7 ways as a sum of consecutive naturals, for example, 357 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (8232).

2⁷⁴⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

74004 is an abundant number, since it is smaller than the sum of its proper divisors (123564).

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 (98784).

74004 is a wasteful number, since it uses less digits than its factorization.

74004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 74004 is about 272.0367622216. The cubic root of 74004 is about 41.9841209815.

The spelling of 74004 in words is "seventy-four thousand, four", and thus it is an iban number.