71688198720 has 112 divisors (see below), whose sum is σ = 228456987840. Its totient is φ = 19045718016.

The previous prime is 71688198713. The next prime is 71688198721. The reversal of 71688198720 is 2789188617.

It is not an unprimeable number, because it can be changed into a prime (71688198721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119439 + ... + 397041.

Almost surely, 2^71688198720 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 71688198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114228493920).

71688198720 is an abundant number, since it is smaller than the sum of its proper divisors (156768789120).

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

71688198720 is a wasteful number, since it uses less digits than its factorization.

71688198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277892 (or 277882 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 57.

The spelling of 71688198720 in words is "seventy-one billion, six hundred eighty-eight million, one hundred ninety-eight thousand, seven hundred twenty".