75971112 has 64 divisors (see below), whose sum is σ = 219542400. Its totient is φ = 21457920.

The previous prime is 75971107. The next prime is 75971117. The reversal of 75971112 is 21117957.

It is an interprime number because it is at equal distance from previous prime (75971107) and next prime (75971117).

It is not an unprimeable number, because it can be changed into a prime (75971117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12412 + ... + 17492.

It is an arithmetic number, because the mean of its divisors is an integer number (3430350).

Almost surely, 2^75971112 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 75971112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109771200).

75971112 is an abundant number, since it is smaller than the sum of its proper divisors (143571288).

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

75971112 is a wasteful number, since it uses less digits than its factorization.

75971112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186 (or 5182 counting only the distinct ones).

The product of its digits is 4410, while the sum is 33.

The square root of 75971112 is about 8716.1408891780. The cubic root of 75971112 is about 423.5286829962.

The spelling of 75971112 in words is "seventy-five million, nine hundred seventy-one thousand, one hundred twelve".