71664167 has 4 divisors (see below), whose sum is σ = 71893440. Its totient is φ = 71434896.

The previous prime is 71664149. The next prime is 71664169. The reversal of 71664167 is 76146617.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76146617 = 1171 ⋅65027.

It is a cyclic number.

It is not a de Polignac number, because 71664167 - 2²⁰ = 70615591 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71664167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71664169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114167 + ... + 114792.

It is an arithmetic number, because the mean of its divisors is an integer number (17973360).

Almost surely, 2^71664167 is an apocalyptic number.

71664167 is a deficient number, since it is larger than the sum of its proper divisors (229273).

71664167 is a wasteful number, since it uses less digits than its factorization.

71664167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229272.

The product of its digits is 42336, while the sum is 38.

The square root of 71664167 is about 8465.4690950945. The cubic root of 71664167 is about 415.3689407920.

The spelling of 71664167 in words is "seventy-one million, six hundred sixty-four thousand, one hundred sixty-seven".