75328320 has 56 divisors (see below), whose sum is σ = 239170464. Its totient is φ = 20087296.

The previous prime is 75328277. The next prime is 75328387. The reversal of 75328320 is 2382357.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38274 + ... + 40193.

Almost surely, 2^75328320 is an apocalyptic number.

It is an amenable number.

75328320 is an abundant number, since it is smaller than the sum of its proper divisors (163842144).

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

75328320 is a wasteful number, since it uses less digits than its factorization.

75328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78487 (or 78477 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 75328320 is about 8679.1889021959. The cubic root of 75328320 is about 422.3308053553.

The spelling of 75328320 in words is "seventy-five million, three hundred twenty-eight thousand, three hundred twenty".