71316120 has 128 divisors (see below), whose sum is σ = 232704000. Its totient is φ = 17418240.

The previous prime is 71316107. The next prime is 71316127. The reversal of 71316120 is 2161317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71316127) 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, 70176 + ... + 71184.

It is an arithmetic number, because the mean of its divisors is an integer number (1818000).

Almost surely, 2^71316120 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 71316120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116352000).

71316120 is an abundant number, since it is smaller than the sum of its proper divisors (161387880).

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

71316120 is a wasteful number, since it uses less digits than its factorization.

71316120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1069 counting only the distinct ones).

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

The square root of 71316120 is about 8444.8872106145. The cubic root of 71316120 is about 414.6954169033.

Adding to 71316120 its reverse (2161317), we get a palindrome (73477437).

The spelling of 71316120 in words is "seventy-one million, three hundred sixteen thousand, one hundred twenty".