71432368128 has 780 divisors, whose sum is σ = 249926478648. Its totient is φ = 20145438720.

The previous prime is 71432368097. The next prime is 71432368141. The reversal of 71432368128 is 82186323417.

It is a super-2 number, since 2×71432368128² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1930604526 + ... + 1930604562.

Almost surely, 2^71432368128 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 71432368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124963239324).

71432368128 is an abundant number, since it is smaller than the sum of its proper divisors (178494110520).

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

71432368128 is a wasteful number, since it uses less digits than its factorization.

71432368128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 76 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 71432368128 in words is "seventy-one billion, four hundred thirty-two million, three hundred sixty-eight thousand, one hundred twenty-eight".