71720828160 has 288 divisors, whose sum is σ = 233025811200. Its totient is φ = 18797297664.

The previous prime is 71720828143. The next prime is 71720828161. The reversal of 71720828160 is 6182802717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71720828161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58931872 + ... + 58933088.

It is an arithmetic number, because the mean of its divisors is an integer number (809117400).

Almost surely, 2^71720828160 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 71720828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116512905600).

71720828160 is an abundant number, since it is smaller than the sum of its proper divisors (161304983040).

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

71720828160 is a wasteful number, since it uses less digits than its factorization.

71720828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 71720828160 in words is "seventy-one billion, seven hundred twenty million, eight hundred twenty-eight thousand, one hundred sixty".