71128128 has 56 divisors (see below), whose sum is σ = 189740032. Its totient is φ = 23514624.

The previous prime is 71128117. The next prime is 71128157. The reversal of 71128128 is 82182117.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 71128095 and 71128104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22926 + ... + 25842.

Almost surely, 2^71128128 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 71128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94870016).

71128128 is an abundant number, since it is smaller than the sum of its proper divisors (118611904).

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

71128128 is a wasteful number, since it uses less digits than its factorization.

71128128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3049 counting only the distinct ones).

The product of its digits is 1792, while the sum is 30.

The square root of 71128128 is about 8433.7493441529. The cubic root of 71128128 is about 414.3307119687.

The spelling of 71128128 in words is "seventy-one million, one hundred twenty-eight thousand, one hundred twenty-eight".