71270726016 has 256 divisors, whose sum is σ = 229455936000. Its totient is φ = 19134185472.

The previous prime is 71270725961. The next prime is 71270726027. The reversal of 71270726016 is 61062707217.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48848295 + ... + 48849753.

It is an arithmetic number, because the mean of its divisors is an integer number (896312250).

Almost surely, 2^71270726016 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 71270726016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114727968000).

71270726016 is an abundant number, since it is smaller than the sum of its proper divisors (158185209984).

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

71270726016 is a wasteful number, since it uses less digits than its factorization.

71270726016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The spelling of 71270726016 in words is "seventy-one billion, two hundred seventy million, seven hundred twenty-six thousand, sixteen".