71866341792 has 144 divisors (see below), whose sum is σ = 234965308032. Its totient is φ = 20410191360.

The previous prime is 71866341761. The next prime is 71866341803. The reversal of 71866341792 is 29714366817.

71866341792 is a `hidden beast` number, since 7 + 1 + 86 + 63 + 417 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229942 + ... + 443402.

It is an arithmetic number, because the mean of its divisors is an integer number (1631703528).

Almost surely, 2^71866341792 is an apocalyptic number.

71866341792 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 71866341792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117482654016).

71866341792 is an abundant number, since it is smaller than the sum of its proper divisors (163098966240).

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

71866341792 is a wasteful number, since it uses less digits than its factorization.

71866341792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213651 (or 213640 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 71866341792 in words is "seventy-one billion, eight hundred sixty-six million, three hundred forty-one thousand, seven hundred ninety-two".