71892067104 has 672 divisors, whose sum is σ = 260425839744. Its totient is φ = 19214807040.

The previous prime is 71892067063. The next prime is 71892067111. The reversal of 71892067104 is 40176029817.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 71892067104.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 76725324 + ... + 76726260.

It is an arithmetic number, because the mean of its divisors is an integer number (387538452).

Almost surely, 2^71892067104 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 71892067104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130212919872).

71892067104 is an abundant number, since it is smaller than the sum of its proper divisors (188533772640).

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

71892067104 is a wasteful number, since it uses less digits than its factorization.

71892067104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 71892067104 in words is "seventy-one billion, eight hundred ninety-two million, sixty-seven thousand, one hundred four".