71122128 has 120 divisors (see below), whose sum is σ = 233244000. Its totient is φ = 18466560.

The previous prime is 71122027. The next prime is 71122147. The reversal of 71122128 is 82122117.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 71122098 and 71122107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24498 + ... + 27246.

It is an arithmetic number, because the mean of its divisors is an integer number (1943700).

Almost surely, 2^71122128 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 71122128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116622000).

71122128 is an abundant number, since it is smaller than the sum of its proper divisors (162121872).

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

71122128 is a wasteful number, since it uses less digits than its factorization.

71122128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2772 counting only the distinct ones).

The product of its digits is 448, while the sum is 24.

The square root of 71122128 is about 8433.3936229729. The cubic root of 71122128 is about 414.3190613778.

The spelling of 71122128 in words is "seventy-one million, one hundred twenty-two thousand, one hundred twenty-eight".