71296270080 has 864 divisors, whose sum is σ = 289909186560. Its totient is φ = 14822277120.

The previous prime is 71296270057. The next prime is 71296270109. The reversal of 71296270080 is 8007269217.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99159961 + ... + 99160679.

It is an arithmetic number, because the mean of its divisors is an integer number (335543040).

Almost surely, 2^71296270080 is an apocalyptic number.

71296270080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71296270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144954593280).

71296270080 is an abundant number, since it is smaller than the sum of its proper divisors (218612916480).

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

71296270080 is a wasteful number, since it uses less digits than its factorization.

71296270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 71296270080 in words is "seventy-one billion, two hundred ninety-six million, two hundred seventy thousand, eighty".