75928320 has 288 divisors, whose sum is σ = 291883200. Its totient is φ = 18690048.

The previous prime is 75928319. The next prime is 75928327. The reversal of 75928320 is 2382957.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (75928327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5840634 + ... + 5840646.

Almost surely, 2^75928320 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 75928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145941600).

75928320 is an abundant number, since it is smaller than the sum of its proper divisors (215954880).

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

75928320 is an equidigital number, since it uses as much as digits as its factorization.

75928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

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

The square root of 75928320 is about 8713.6857873118. The cubic root of 75928320 is about 423.4491481888.

The spelling of 75928320 in words is "seventy-five million, nine hundred twenty-eight thousand, three hundred twenty".