71163172732120 has 128 divisors (see below), whose sum is σ = 187951348085760. Its totient is φ = 23737527083520.

The previous prime is 71163172732103. The next prime is 71163172732129. The reversal of 71163172732120 is 2123727136117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71163172732129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136190797 + ... + 136712323.

It is an arithmetic number, because the mean of its divisors is an integer number (1468369906920).

Almost surely, 2^{71163172732120} is an apocalyptic number.

71163172732120 is a gapful number since it is divisible by the number (70) 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 71163172732120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93975674042880).

71163172732120 is an abundant number, since it is smaller than the sum of its proper divisors (116788175353640).

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

71163172732120 is a wasteful number, since it uses less digits than its factorization.

71163172732120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534753 (or 534749 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 43.

Adding to 71163172732120 its reverse (2123727136117), we get a palindrome (73286899868237).

The spelling of 71163172732120 in words is "seventy-one trillion, one hundred sixty-three billion, one hundred seventy-two million, seven hundred thirty-two thousand, one hundred twenty".