74056320 has 384 divisors, whose sum is σ = 294053760. Its totient is φ = 17031168.

The previous prime is 74056313. The next prime is 74056321. The reversal of 74056320 is 2365047.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (74056321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1722219 + ... + 1722261.

It is an arithmetic number, because the mean of its divisors is an integer number (765765).

Almost surely, 2^74056320 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 74056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147026880).

74056320 is an abundant number, since it is smaller than the sum of its proper divisors (219997440).

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

74056320 is a wasteful number, since it uses less digits than its factorization.

74056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 74056320 is about 8605.5981779305. The cubic root of 74056320 is about 419.9401275198.

The spelling of 74056320 in words is "seventy-four million, fifty-six thousand, three hundred twenty".