74304000 has 320 divisors, whose sum is σ = 280874880. Its totient is φ = 19353600.

The previous prime is 74303989. The next prime is 74304001. The reversal of 74304000 is 40347.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (74304001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727979 + ... + 1728021.

It is an arithmetic number, because the mean of its divisors is an integer number (877734).

Almost surely, 2^74304000 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 74304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140437440).

74304000 is an abundant number, since it is smaller than the sum of its proper divisors (206570880).

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

74304000 is an equidigital number, since it uses as much as digits as its factorization.

74304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

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

The square root of 74304000 is about 8619.9767981126. The cubic root of 74304000 is about 420.4077672464.

Adding to 74304000 its reverse (40347), we get a palindrome (74344347).

The spelling of 74304000 in words is "seventy-four million, three hundred four thousand".