71106995232 has 384 divisors, whose sum is σ = 260479296000. Its totient is φ = 18752477184.

The previous prime is 71106995149. The next prime is 71106995243. The reversal of 71106995232 is 23259960117.

It is a happy number.

71106995232 is a `hidden beast` number, since 7 + 110 + 6 + 9 + 9 + 523 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3843348 + ... + 3861804.

It is an arithmetic number, because the mean of its divisors is an integer number (678331500).

Almost surely, 2^71106995232 is an apocalyptic number.

71106995232 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 71106995232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130239648000).

71106995232 is an abundant number, since it is smaller than the sum of its proper divisors (189372300768).

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

71106995232 is a wasteful number, since it uses less digits than its factorization.

71106995232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18510 (or 18482 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 71106995232 in words is "seventy-one billion, one hundred six million, nine hundred ninety-five thousand, two hundred thirty-two".