75842112 has 56 divisors (see below), whose sum is σ = 202704192. Its totient is φ = 25024000.

The previous prime is 75842111. The next prime is 75842113. The reversal of 75842112 is 21124857.

It is an interprime number because it is at equal distance from previous prime (75842111) and next prime (75842113).

It is a self number, because there is not a number n which added to its sum of digits gives 75842112.

It is not an unprimeable number, because it can be changed into a prime (75842111) 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 7 ways as a sum of consecutive naturals, for example, 17437 + ... + 21347.

Almost surely, 2^75842112 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 75842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101352096).

75842112 is an abundant number, since it is smaller than the sum of its proper divisors (126862080).

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

75842112 is a wasteful number, since it uses less digits than its factorization.

75842112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4017 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 75842112 is about 8708.7376812027. The cubic root of 75842112 is about 423.2888279967.

Adding to 75842112 its reverse (21124857), we get a palindrome (96966969).

The spelling of 75842112 in words is "seventy-five million, eight hundred forty-two thousand, one hundred twelve".