72172107121 has 8 divisors (see below), whose sum is σ = 75712363200. Its totient is φ = 68701955280.

The previous prime is 72172107067. The next prime is 72172107149. The reversal of 72172107121 is 12170127127.

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 72172107121 - 2⁹ = 72172106609 is a prime.

It is a super-3 number, since 3×72172107121³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72172107191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17523951 + ... + 17528068.

It is an arithmetic number, because the mean of its divisors is an integer number (9464045400).

Almost surely, 2^72172107121 is an apocalyptic number.

72172107121 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

72172107121 is a deficient number, since it is larger than the sum of its proper divisors (3540256079).

72172107121 is a wasteful number, since it uses less digits than its factorization.

72172107121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35052119.

The product of its (nonzero) digits is 2744, while the sum is 31.

The spelling of 72172107121 in words is "seventy-two billion, one hundred seventy-two million, one hundred seven thousand, one hundred twenty-one".