71004164 has 48 divisors (see below), whose sum is σ = 155675520. Its totient is φ = 27528960.

The previous prime is 71004163. The next prime is 71004179. The reversal of 71004164 is 46140017.

It is not an unprimeable number, because it can be changed into a prime (71004161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82424 + ... + 83280.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 2^71004164 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 71004164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77837760).

71004164 is an abundant number, since it is smaller than the sum of its proper divisors (84671356).

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

71004164 is a wasteful number, since it uses less digits than its factorization.

71004164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 71004164 is about 8426.3968574949. The cubic root of 71004164 is about 414.0898697911.

The spelling of 71004164 in words is "seventy-one million, four thousand, one hundred sixty-four".