71216128 has 44 divisors (see below), whose sum is σ = 150773832. Its totient is φ = 33505280.

The previous prime is 71216107. The next prime is 71216129. The reversal of 71216128 is 82161217.

It is a junction number, because it is equal to n+sod(n) for n = 71216096 and 71216105.

It is not an unprimeable number, because it can be changed into a prime (71216129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15363 + ... + 19453.

It is an arithmetic number, because the mean of its divisors is an integer number (3426678).

Almost surely, 2^71216128 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 71216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75386916).

71216128 is an abundant number, since it is smaller than the sum of its proper divisors (79557704).

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

71216128 is a wasteful number, since it uses less digits than its factorization.

71216128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4110 counting only the distinct ones).

The product of its digits is 1344, while the sum is 28.

The square root of 71216128 is about 8438.9648654323. The cubic root of 71216128 is about 414.5015120793.

The spelling of 71216128 in words is "seventy-one million, two hundred sixteen thousand, one hundred twenty-eight".