72082971167 has 8 divisors (see below), whose sum is σ = 73060852800. Its totient is φ = 71106725664.

The previous prime is 72082971131. The next prime is 72082971173. The reversal of 72082971167 is 76117928027.

It is a happy number.

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 72082971167 - 2²² = 72078776863 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72082971197) 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, 320192 + ... + 496677.

It is an arithmetic number, because the mean of its divisors is an integer number (9132606600).

Almost surely, 2^72082971167 is an apocalyptic number.

72082971167 is a deficient number, since it is larger than the sum of its proper divisors (977881633).

72082971167 is a wasteful number, since it uses less digits than its factorization.

72082971167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818065.

The product of its (nonzero) digits is 592704, while the sum is 50.

The spelling of 72082971167 in words is "seventy-two billion, eighty-two million, nine hundred seventy-one thousand, one hundred sixty-seven".