74560320 has 84 divisors (see below), whose sum is σ = 256466340. Its totient is φ = 19881984.

The previous prime is 74560271. The next prime is 74560331. The reversal of 74560320 is 2306547.

It is a happy number.

74560320 is a `hidden beast` number, since 74 + 560 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52881984 + 21678336 = 7272^2 + 4656^2 .

It is a congruent number.

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, 10065 + ... + 15824.

Almost surely, 2^74560320 is an apocalyptic number.

It is an amenable number.

74560320 is an abundant number, since it is smaller than the sum of its proper divisors (181906020).

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

74560320 is a wasteful number, since it uses less digits than its factorization.

74560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25912 (or 25899 counting only the distinct ones).

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

The square root of 74560320 is about 8634.8317875915. The cubic root of 74560320 is about 420.8906270610.

Adding to 74560320 its reverse (2306547), we get a palindrome (76866867).

The spelling of 74560320 in words is "seventy-four million, five hundred sixty thousand, three hundred twenty".