71712056166065 has 8 divisors (see below), whose sum is σ = 98347962742080. Its totient is φ = 49173981370992.

The previous prime is 71712056166061. The next prime is 71712056166131. The reversal of 71712056166065 is 56066165021717.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71712056166065 - 2² = 71712056166061 is a prime.

It is a super-2 number, since 2×71712056166065² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71712056165998 and 71712056166016.

It is not an unprimeable number, because it can be changed into a prime (71712056166061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1024457945195 + ... + 1024457945264.

It is an arithmetic number, because the mean of its divisors is an integer number (12293495342760).

Almost surely, 2^{71712056166065} is an apocalyptic number.

It is an amenable number.

71712056166065 is a deficient number, since it is larger than the sum of its proper divisors (26635906576015).

71712056166065 is a wasteful number, since it uses less digits than its factorization.

71712056166065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048915890471.

The product of its (nonzero) digits is 3175200, while the sum is 53.

The spelling of 71712056166065 in words is "seventy-one trillion, seven hundred twelve billion, fifty-six million, one hundred sixty-six thousand, sixty-five".