74368320 has 224 divisors, whose sum is σ = 261152640. Its totient is φ = 17817600.

The previous prime is 74368303. The next prime is 74368321. The reversal of 74368320 is 2386347.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74368321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 736270 + ... + 736370.

It is an arithmetic number, because the mean of its divisors is an integer number (1165860).

Almost surely, 2^74368320 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 74368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130576320).

74368320 is an abundant number, since it is smaller than the sum of its proper divisors (186784320).

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

74368320 is a wasteful number, since it uses less digits than its factorization.

74368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 74368320 is about 8623.7068595819. The cubic root of 74368320 is about 420.5290385504.

The spelling of 74368320 in words is "seventy-four million, three hundred sixty-eight thousand, three hundred twenty".