72172107117 has 48 divisors (see below), whose sum is σ = 115882243776. Its totient is φ = 42914880000.

The previous prime is 72172107067. The next prime is 72172107149. The reversal of 72172107117 is 71170127127.

It is a happy number.

It is not a de Polignac number, because 72172107117 - 2¹⁰ = 72172106093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72172107197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2406738 + ... + 2436540.

It is an arithmetic number, because the mean of its divisors is an integer number (2414213412).

Almost surely, 2^72172107117 is an apocalyptic number.

It is an amenable number.

72172107117 is a deficient number, since it is larger than the sum of its proper divisors (43710136659).

72172107117 is a wasteful number, since it uses less digits than its factorization.

72172107117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30282 (or 30279 counting only the distinct ones).

The product of its (nonzero) digits is 9604, while the sum is 36.

The spelling of 72172107117 in words is "seventy-two billion, one hundred seventy-two million, one hundred seven thousand, one hundred seventeen".