75811328 has 40 divisors (see below), whose sum is σ = 152320608. Its totient is φ = 37694464.

The previous prime is 75811327. The next prime is 75811331. The reversal of 75811328 is 82311857.

It is not an unprimeable number, because it can be changed into a prime (75811327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 134375 + ... + 134937.

Almost surely, 2^75811328 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 75811328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76160304).

75811328 is an abundant number, since it is smaller than the sum of its proper divisors (76509280).

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

75811328 is an equidigital number, since it uses as much as digits as its factorization.

75811328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 828 counting only the distinct ones).

The product of its digits is 13440, while the sum is 35.

The square root of 75811328 is about 8706.9700814922. The cubic root of 75811328 is about 423.2315498507.

The spelling of 75811328 in words is "seventy-five million, eight hundred eleven thousand, three hundred twenty-eight".