71286143328 has 216 divisors, whose sum is σ = 213449182128. Its totient is φ = 22524885504.

The previous prime is 71286143321. The next prime is 71286143347. The reversal of 71286143328 is 82334168217.

71286143328 is a `hidden beast` number, since 7 + 1 + 2 + 8 + 614 + 3 + 3 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71286143321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127982026 + ... + 127982582.

It is an arithmetic number, because the mean of its divisors is an integer number (988190658).

Almost surely, 2^71286143328 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 71286143328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106724591064).

71286143328 is an abundant number, since it is smaller than the sum of its proper divisors (142163038800).

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

71286143328 is a wasteful number, since it uses less digits than its factorization.

71286143328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 724 counting only the distinct ones).

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

The spelling of 71286143328 in words is "seventy-one billion, two hundred eighty-six million, one hundred forty-three thousand, three hundred twenty-eight".