72171849017 has 8 divisors (see below), whose sum is σ = 75329403840. Its totient is φ = 69015931600.

The previous prime is 72171848941. The next prime is 72171849037. The reversal of 72171849017 is 71094817127.

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 72171849017 - 2²⁶ = 72104740153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72171849037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318842 + ... + 495987.

It is an arithmetic number, because the mean of its divisors is an integer number (9416175480).

Almost surely, 2^72171849017 is an apocalyptic number.

It is an amenable number.

72171849017 is a deficient number, since it is larger than the sum of its proper divisors (3157554823).

72171849017 is a wasteful number, since it uses less digits than its factorization.

72171849017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818703.

The product of its (nonzero) digits is 197568, while the sum is 47.

The spelling of 72171849017 in words is "seventy-two billion, one hundred seventy-one million, eight hundred forty-nine thousand, seventeen".