71128017 has 32 divisors (see below), whose sum is σ = 112210560. Its totient is φ = 44375040.

The previous prime is 71128007. The next prime is 71128019. The reversal of 71128017 is 71082117.

It is not a de Polignac number, because 71128017 - 2¹⁵ = 71095249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (71128019) 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, 110298 + ... + 110940.

It is an arithmetic number, because the mean of its divisors is an integer number (3506580).

Almost surely, 2^71128017 is an apocalyptic number.

It is an amenable number.

71128017 is a deficient number, since it is larger than the sum of its proper divisors (41082543).

71128017 is a wasteful number, since it uses less digits than its factorization.

71128017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 71128017 is about 8433.7427634473. The cubic root of 71128017 is about 414.3304964388.

It can be divided in two parts, 7112 and 8017, that added together give a square (15129 = 123²).

The spelling of 71128017 in words is "seventy-one million, one hundred twenty-eight thousand, seventeen".