71171128 has 64 divisors (see below), whose sum is σ = 160056000. Its totient is φ = 29635200.

The previous prime is 71171117. The next prime is 71171137. The reversal of 71171128 is 82117117.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 71171096 and 71171105.

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, 101178 + ... + 101878.

It is an arithmetic number, because the mean of its divisors is an integer number (2500875).

Almost surely, 2^71171128 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 71171128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80028000).

71171128 is an abundant number, since it is smaller than the sum of its proper divisors (88884872).

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

71171128 is a wasteful number, since it uses less digits than its factorization.

71171128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 747 counting only the distinct ones).

The product of its digits is 784, while the sum is 28.

The square root of 71171128 is about 8436.2982403421. The cubic root of 71171128 is about 414.4141887034.

The spelling of 71171128 in words is "seventy-one million, one hundred seventy-one thousand, one hundred twenty-eight".