71265972667 has 8 divisors (see below), whose sum is σ = 71950032000. Its totient is φ = 70582463424.

The previous prime is 71265972649. The next prime is 71265972671. The reversal of 71265972667 is 76627956217.

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

It is not a de Polignac number, because 71265972667 - 2⁷ = 71265972539 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71265972647) 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, 125223 + ... + 397759.

It is an arithmetic number, because the mean of its divisors is an integer number (8993754000).

Almost surely, 2^71265972667 is an apocalyptic number.

71265972667 is a deficient number, since it is larger than the sum of its proper divisors (684059333).

71265972667 is a wasteful number, since it uses less digits than its factorization.

71265972667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275045.

The product of its digits is 13335840, while the sum is 58.

The spelling of 71265972667 in words is "seventy-one billion, two hundred sixty-five million, nine hundred seventy-two thousand, six hundred sixty-seven".