71882718107382 has 128 divisors (see below), whose sum is σ = 196908072453120. Its totient is φ = 18928594874880.

The previous prime is 71882718107381. The next prime is 71882718107441. The reversal of 71882718107382 is 28370181728817.

71882718107382 is a `hidden beast` number, since 7 + 1 + 8 + 82 + 71 + 8 + 107 + 382 = 666.

71882718107382 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71882718107381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8215219 + ... + 14534622.

It is an arithmetic number, because the mean of its divisors is an integer number (1538344316040).

Almost surely, 2^{71882718107382} is an apocalyptic number.

71882718107382 is an abundant number, since it is smaller than the sum of its proper divisors (125025354345738).

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

71882718107382 is a wasteful number, since it uses less digits than its factorization.

71882718107382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22750515 (or 22750509 counting only the distinct ones).

The product of its (nonzero) digits is 16859136, while the sum is 63.

The spelling of 71882718107382 in words is "seventy-one trillion, eight hundred eighty-two billion, seven hundred eighteen million, one hundred seven thousand, three hundred eighty-two".