71812743912 has 256 divisors, whose sum is σ = 245907648000. Its totient is φ = 18909241344.

The previous prime is 71812743889. The next prime is 71812743931. The reversal of 71812743912 is 21934721817.

71812743912 is a `hidden beast` number, since 7 + 181 + 27 + 439 + 12 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13933528 + ... + 13938680.

It is an arithmetic number, because the mean of its divisors is an integer number (960576750).

Almost surely, 2^71812743912 is an apocalyptic number.

71812743912 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 71812743912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122953824000).

71812743912 is an abundant number, since it is smaller than the sum of its proper divisors (174094904088).

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

71812743912 is a wasteful number, since it uses less digits than its factorization.

71812743912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5887 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The spelling of 71812743912 in words is "seventy-one billion, eight hundred twelve million, seven hundred forty-three thousand, nine hundred twelve".