71042112 has 84 divisors (see below), whose sum is σ = 210700620. Its totient is φ = 22858752.

The previous prime is 71042047. The next prime is 71042113. The reversal of 71042112 is 21124017.

It can be written as a sum of positive squares in 2 ways, for example, as 20575296 + 50466816 = 4536^2 + 7104^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (71042113) 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 11 ways as a sum of consecutive naturals, for example, 14578 + ... + 18830.

Almost surely, 2^71042112 is an apocalyptic number.

71042112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105350310).

71042112 is an abundant number, since it is smaller than the sum of its proper divisors (139658508).

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

71042112 is a wasteful number, since it uses less digits than its factorization.

71042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 71042112 is about 8428.6482902064. The cubic root of 71042112 is about 414.1636264222.

Adding to 71042112 its reverse (21124017), we get a palindrome (92166129).

It can be divided in two parts, 7104 and 2112, that added together give a square (9216 = 96²).

The spelling of 71042112 in words is "seventy-one million, forty-two thousand, one hundred twelve".