75320928 has 60 divisors (see below), whose sum is σ = 221524380. Its totient is φ = 25106112.

The previous prime is 75320911. The next prime is 75320933. The reversal of 75320928 is 82902357.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 75320892 and 75320901.

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 9 ways as a sum of consecutive naturals, for example, 11938 + ... + 17121.

It is an arithmetic number, because the mean of its divisors is an integer number (3692073).

Almost surely, 2^75320928 is an apocalyptic number.

It is an amenable number.

75320928 is an abundant number, since it is smaller than the sum of its proper divisors (146203452).

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

75320928 is a wasteful number, since it uses less digits than its factorization.

75320928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29081 (or 29064 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75320928 is about 8678.7630455037. The cubic root of 75320928 is about 422.3169904030.

The spelling of 75320928 in words is "seventy-five million, three hundred twenty thousand, nine hundred twenty-eight".