74304 has 56 divisors (see below), whose sum is σ = 223520. Its totient is φ = 24192.

The previous prime is 74297. The next prime is 74311. The reversal of 74304 is 40347.

It is an interprime number because it is at equal distance from previous prime (74297) and next prime (74311).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

74304 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 7 ways as a sum of consecutive naturals, for example, 1707 + ... + 1749.

2⁷⁴³⁰⁴ 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 74304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111760).

74304 is an abundant number, since it is smaller than the sum of its proper divisors (149216).

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

74304 is a wasteful number, since it uses less digits than its factorization.

74304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 74304 is about 272.5876005984. The cubic root of 74304 is about 42.0407767246.

It can be divided in two parts, 74 and 304, that added together give a triangular number (378 = T₂₇).

The spelling of 74304 in words is "seventy-four thousand, three hundred four", and thus it is an iban number.