74668320 has 72 divisors (see below), whose sum is σ = 254810556. Its totient is φ = 19911168.

The previous prime is 74668313. The next prime is 74668333. The reversal of 74668320 is 2386647.

It can be written as a sum of positive squares in 2 ways, for example, as 70358544 + 4309776 = 8388^2 + 2076^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 24487 + ... + 27366.

Almost surely, 2^74668320 is an apocalyptic number.

It is an amenable number.

74668320 is an abundant number, since it is smaller than the sum of its proper divisors (180142236).

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

74668320 is a wasteful number, since it uses less digits than its factorization.

74668320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51874 (or 51863 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 74668320 is about 8641.0832654245. The cubic root of 74668320 is about 421.0937478708.

The spelling of 74668320 in words is "seventy-four million, six hundred sixty-eight thousand, three hundred twenty".