71092352128 has 128 divisors (see below), whose sum is σ = 166093079040. Its totient is φ = 29674291200.

The previous prime is 71092352099. The next prime is 71092352131. The reversal of 71092352128 is 82125329017.

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

It is a super-2 number, since 2×71092352128² (a number of 23 digits) contains 22 as substring.

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, 27954825 + ... + 27957367.

It is an arithmetic number, because the mean of its divisors is an integer number (1297602180).

Almost surely, 2^71092352128 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 71092352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83046539520).

71092352128 is an abundant number, since it is smaller than the sum of its proper divisors (95000726912).

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

71092352128 is a wasteful number, since it uses less digits than its factorization.

71092352128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 71092352128 in words is "seventy-one billion, ninety-two million, three hundred fifty-two thousand, one hundred twenty-eight".