71164044 has 144 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 18931968.

The previous prime is 71164043. The next prime is 71164099. The reversal of 71164044 is 44046117.

71164044 is a `hidden beast` number, since 7 + 11 + 640 + 4 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 71163999 and 71164017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71164043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426049 + ... + 426215.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2^71164044 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 71164044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

71164044 is an abundant number, since it is smaller than the sum of its proper divisors (148983156).

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

71164044 is a wasteful number, since it uses less digits than its factorization.

71164044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 71164044 is about 8435.8783775017. The cubic root of 71164044 is about 414.4004387104.

The spelling of 71164044 in words is "seventy-one million, one hundred sixty-four thousand, forty-four".