71712787344 has 240 divisors, whose sum is σ = 211310016960. Its totient is φ = 20916403200.

The previous prime is 71712787319. The next prime is 71712787357. The reversal of 71712787344 is 44378721717.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91121319 + ... + 91122105.

It is an arithmetic number, because the mean of its divisors is an integer number (880458404).

Almost surely, 2^71712787344 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 71712787344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105655008480).

71712787344 is an abundant number, since it is smaller than the sum of its proper divisors (139597229616).

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

71712787344 is a wasteful number, since it uses less digits than its factorization.

71712787344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1373 counting only the distinct ones).

The product of its digits is 1843968, while the sum is 51.

The spelling of 71712787344 in words is "seventy-one billion, seven hundred twelve million, seven hundred eighty-seven thousand, three hundred forty-four".