71921443712384 has 256 divisors, whose sum is σ = 174162473533440. Its totient is φ = 28879872000000.

The previous prime is 71921443712381. The next prime is 71921443712387. The reversal of 71921443712384 is 48321734412917.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71921443712381) and next prime (71921443712387).

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71921443712381) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10273020884 + ... + 10273027884.

It is an arithmetic number, because the mean of its divisors is an integer number (680322162240).

Almost surely, 2^{71921443712384} 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 71921443712384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87081236766720).

71921443712384 is an abundant number, since it is smaller than the sum of its proper divisors (102241029821056).

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

71921443712384 is a wasteful number, since it uses less digits than its factorization.

71921443712384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9977 (or 9965 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 56.

The spelling of 71921443712384 in words is "seventy-one trillion, nine hundred twenty-one billion, four hundred forty-three million, seven hundred twelve thousand, three hundred eighty-four".