71699807872 has 128 divisors (see below), whose sum is σ = 184227177600. Its totient is φ = 26971607040.

The previous prime is 71699807863. The next prime is 71699807887. The reversal of 71699807872 is 27870899617.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160398 + ... + 411250.

It is an arithmetic number, because the mean of its divisors is an integer number (1439274825).

Almost surely, 2^71699807872 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 71699807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92113588800).

71699807872 is an abundant number, since it is smaller than the sum of its proper divisors (112527369728).

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

71699807872 is a wasteful number, since it uses less digits than its factorization.

71699807872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250914 (or 250902 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 64.

The spelling of 71699807872 in words is "seventy-one billion, six hundred ninety-nine million, eight hundred seven thousand, eight hundred seventy-two".