71292942168 has 256 divisors, whose sum is σ = 219082752000. Its totient is φ = 18902246400.

The previous prime is 71292942113. The next prime is 71292942169. The reversal of 71292942168 is 86124929217.

It is a self number, because there is not a number n which added to its sum of digits gives 71292942168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71292942169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12595323 + ... + 12600981.

It is an arithmetic number, because the mean of its divisors is an integer number (855792000).

Almost surely, 2^71292942168 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 71292942168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109541376000).

71292942168 is an abundant number, since it is smaller than the sum of its proper divisors (147789809832).

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

71292942168 is a wasteful number, since it uses less digits than its factorization.

71292942168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806 (or 5802 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The spelling of 71292942168 in words is "seventy-one billion, two hundred ninety-two million, nine hundred forty-two thousand, one hundred sixty-eight".