71726880000 has 720 divisors, whose sum is σ = 255162821760. Its totient is φ = 17842176000.

The previous prime is 71726879989. The next prime is 71726880007. The reversal of 71726880000 is 8862717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71726880007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 805919956 + ... + 805920044.

It is an arithmetic number, because the mean of its divisors is an integer number (354392808).

Almost surely, 2^71726880000 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 71726880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127581410880).

71726880000 is an abundant number, since it is smaller than the sum of its proper divisors (183435941760).

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

71726880000 is an equidigital number, since it uses as much as digits as its factorization.

71726880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 71726880000 in words is "seventy-one billion, seven hundred twenty-six million, eight hundred eighty thousand".