71828308200 has 768 divisors, whose sum is σ = 269365616640. Its totient is φ = 15630336000.

The previous prime is 71828308193. The next prime is 71828308207. The reversal of 71828308200 is 280382817.

It is an interprime number because it is at equal distance from previous prime (71828308193) and next prime (71828308207).

It is not an unprimeable number, because it can be changed into a prime (71828308207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 372167304 + ... + 372167496.

It is an arithmetic number, because the mean of its divisors is an integer number (350736480).

Almost surely, 2^71828308200 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 71828308200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134682808320).

71828308200 is an abundant number, since it is smaller than the sum of its proper divisors (197537308440).

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

71828308200 is a wasteful number, since it uses less digits than its factorization.

71828308200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 71828308200 in words is "seventy-one billion, eight hundred twenty-eight million, three hundred eight thousand, two hundred".