71879532192 has 576 divisors, whose sum is σ = 244191677184. Its totient is φ = 20603289600.

The previous prime is 71879532157. The next prime is 71879532199. The reversal of 71879532192 is 29123597817.

It is a happy number.

71879532192 is a `hidden beast` number, since 7 + 18 + 7 + 9 + 532 + 1 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (71879532199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259492758 + ... + 259493034.

It is an arithmetic number, because the mean of its divisors is an integer number (423943884).

Almost surely, 2^71879532192 is an apocalyptic number.

71879532192 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71879532192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122095838592).

71879532192 is an abundant number, since it is smaller than the sum of its proper divisors (172312144992).

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

71879532192 is a wasteful number, since it uses less digits than its factorization.

71879532192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 463 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 71879532192 in words is "seventy-one billion, eight hundred seventy-nine million, five hundred thirty-two thousand, one hundred ninety-two".