75882112 has 32 divisors (see below), whose sum is σ = 152892900. Its totient is φ = 37509120.

The previous prime is 75882097. The next prime is 75882137. The reversal of 75882112 is 21128857.

It can be written as a sum of positive squares in 2 ways, for example, as 75064896 + 817216 = 8664^2 + 904^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 8062 + ... + 14722.

Almost surely, 2^75882112 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 75882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76446450).

75882112 is an abundant number, since it is smaller than the sum of its proper divisors (77010788).

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

75882112 is an equidigital number, since it uses as much as digits as its factorization.

75882112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764 (or 6752 counting only the distinct ones).

The product of its digits is 8960, while the sum is 34.

The square root of 75882112 is about 8711.0339225605. The cubic root of 75882112 is about 423.3632307127.

The spelling of 75882112 in words is "seventy-five million, eight hundred eighty-two thousand, one hundred twelve".