71564141 has 16 divisors (see below), whose sum is σ = 81164160. Its totient is φ = 62502720.

The previous prime is 71564131. The next prime is 71564159. The reversal of 71564141 is 14146517.

It is a cyclic number.

It is not a de Polignac number, because 71564141 - 2¹⁰ = 71563117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71564111) 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, 83471 + ... + 84323.

It is an arithmetic number, because the mean of its divisors is an integer number (5072760).

Almost surely, 2^71564141 is an apocalyptic number.

It is an amenable number.

71564141 is a deficient number, since it is larger than the sum of its proper divisors (9600019).

71564141 is a wasteful number, since it uses less digits than its factorization.

71564141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156.

The product of its digits is 3360, while the sum is 29.

The square root of 71564141 is about 8459.5591492701. The cubic root of 71564141 is about 415.1755989839.

The spelling of 71564141 in words is "seventy-one million, five hundred sixty-four thousand, one hundred forty-one".