71163120 has 80 divisors (see below), whose sum is σ = 252126720. Its totient is φ = 16265472.

The previous prime is 71163097. The next prime is 71163161. The reversal of 71163120 is 2136117.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 19500 + ... + 22859.

It is an arithmetic number, because the mean of its divisors is an integer number (3151584).

Almost surely, 2^71163120 is an apocalyptic number.

71163120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71163120 is an abundant number, since it is smaller than the sum of its proper divisors (180963600).

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

71163120 is a wasteful number, since it uses less digits than its factorization.

71163120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42382 (or 42376 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 71163120 is about 8435.8236112427. The cubic root of 71163120 is about 414.3986451658.

Adding to 71163120 its reverse (2136117), we get a palindrome (73299237).

The spelling of 71163120 in words is "seventy-one million, one hundred sixty-three thousand, one hundred twenty".