71830164 has 48 divisors (see below), whose sum is σ = 194421248. Its totient is φ = 20215008.

The previous prime is 71830159. The next prime is 71830181. The reversal of 71830164 is 46103817.

It is a happy number.

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, 754 + ... + 12009.

Almost surely, 2^71830164 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 71830164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97210624).

71830164 is an abundant number, since it is smaller than the sum of its proper divisors (122591084).

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

71830164 is a wasteful number, since it uses less digits than its factorization.

71830164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12844 (or 12842 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 71830164 is about 8475.2677833801. The cubic root of 71830164 is about 415.6894023404.

The spelling of 71830164 in words is "seventy-one million, eight hundred thirty thousand, one hundred sixty-four".