71879160192 has 128 divisors (see below), whose sum is σ = 219411628800. Its totient is φ = 20423301120.

The previous prime is 71879160191. The next prime is 71879160253. The reversal of 71879160192 is 29106197817.

It is a happy number.

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

It is a super-2 number, since 2×71879160192² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71879160191) 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, 412659 + ... + 560397.

It is an arithmetic number, because the mean of its divisors is an integer number (1714153350).

Almost surely, 2^71879160192 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 71879160192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109705814400).

71879160192 is an abundant number, since it is smaller than the sum of its proper divisors (147532468608).

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

71879160192 is a wasteful number, since it uses less digits than its factorization.

71879160192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147944 (or 147932 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 51.

The spelling of 71879160192 in words is "seventy-one billion, eight hundred seventy-nine million, one hundred sixty thousand, one hundred ninety-two".