71040677067072 has 168 divisors, whose sum is σ = 204347572581152. Its totient is φ = 23596272000000.

The previous prime is 71040677067067. The next prime is 71040677067167. The reversal of 71040677067072 is 27076077604017.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 631410822 + ... + 631523322.

Almost surely, 2^{71040677067072} is an apocalyptic number.

71040677067072 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 71040677067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102173786290576).

71040677067072 is an abundant number, since it is smaller than the sum of its proper divisors (133306895514080).

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

71040677067072 is a wasteful number, since it uses less digits than its factorization.

71040677067072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116397 (or 116384 counting only the distinct ones).

The product of its (nonzero) digits is 4840416, while the sum is 54.

The spelling of 71040677067072 in words is "seventy-one trillion, forty billion, six hundred seventy-seven million, sixty-seven thousand, seventy-two".