71521422336 has 1056 divisors, whose sum is σ = 275997173760. Its totient is φ = 18114969600.

The previous prime is 71521422331. The next prime is 71521422337. The reversal of 71521422336 is 63322412517.

71521422336 is a `hidden beast` number, since 71 + 521 + 42 + 23 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 71521422336.

It is not an unprimeable number, because it can be changed into a prime (71521422331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 545964991 + ... + 545965121.

It is an arithmetic number, because the mean of its divisors is an integer number (261360960).

Almost surely, 2^71521422336 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 71521422336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137998586880).

71521422336 is an abundant number, since it is smaller than the sum of its proper divisors (204475751424).

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

71521422336 is a wasteful number, since it uses less digits than its factorization.

71521422336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 187 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The spelling of 71521422336 in words is "seventy-one billion, five hundred twenty-one million, four hundred twenty-two thousand, three hundred thirty-six".