71834112 has 240 divisors, whose sum is σ = 252787392. Its totient is φ = 19169280.

The previous prime is 71834111. The next prime is 71834137. The reversal of 71834112 is 21143817.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (71834111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548287 + ... + 548417.

Almost surely, 2^71834112 is an apocalyptic number.

71834112 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 71834112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126393696).

71834112 is an abundant number, since it is smaller than the sum of its proper divisors (180953280).

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

71834112 is a wasteful number, since it uses less digits than its factorization.

71834112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 71834112 is about 8475.5006931744. The cubic root of 71834112 is about 415.6970180439.

Adding to 71834112 its reverse (21143817), we get a palindrome (92977929).

It can be divided in two parts, 71834 and 112, that multiplied together give a palindrome (8045408).

The spelling of 71834112 in words is "seventy-one million, eight hundred thirty-four thousand, one hundred twelve".