72162226317 has 32 divisors (see below), whose sum is σ = 100133183488. Its totient is φ = 46187620416.

The previous prime is 72162226307. The next prime is 72162226327. The reversal of 72162226317 is 71362226127.

It is an interprime number because it is at equal distance from previous prime (72162226307) and next prime (72162226327).

It is not a de Polignac number, because 72162226317 - 2⁸ = 72162226061 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 (72162226307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3224388 + ... + 3246690.

It is an arithmetic number, because the mean of its divisors is an integer number (3129161984).

Almost surely, 2^72162226317 is an apocalyptic number.

It is an amenable number.

72162226317 is a deficient number, since it is larger than the sum of its proper divisors (27970957171).

72162226317 is a wasteful number, since it uses less digits than its factorization.

72162226317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22729.

The product of its digits is 84672, while the sum is 39.

The spelling of 72162226317 in words is "seventy-two billion, one hundred sixty-two million, two hundred twenty-six thousand, three hundred seventeen".