71064756 has 192 divisors, whose sum is σ = 226652160. Its totient is φ = 18817920.

The previous prime is 71064751. The next prime is 71064781. The reversal of 71064756 is 65746017.

71064756 is a `hidden beast` number, since 7 + 1 + 0 + 647 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 71064756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71064751) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1060635 + ... + 1060701.

It is an arithmetic number, because the mean of its divisors is an integer number (1180480).

Almost surely, 2^71064756 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 71064756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113326080).

71064756 is an abundant number, since it is smaller than the sum of its proper divisors (155587404).

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

71064756 is a wasteful number, since it uses less digits than its factorization.

71064756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 71064756 is about 8429.9914590704. The cubic root of 71064756 is about 414.2076253249.

The spelling of 71064756 in words is "seventy-one million, sixty-four thousand, seven hundred fifty-six".