71334144 has 108 divisors (see below), whose sum is σ = 235109056. Its totient is φ = 20376576.

The previous prime is 71334121. The next prime is 71334149. The reversal of 71334144 is 44143317.

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 (71334149) 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, 13917 + ... + 18339.

Almost surely, 2^71334144 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 71334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117554528).

71334144 is an abundant number, since it is smaller than the sum of its proper divisors (163774912).

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

71334144 is a wasteful number, since it uses less digits than its factorization.

71334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 4435 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 71334144 is about 8445.9542977688. The cubic root of 71334144 is about 414.7303498217.

The spelling of 71334144 in words is "seventy-one million, three hundred thirty-four thousand, one hundred forty-four".