172806128712 has 288 divisors, whose sum is σ = 570847193280. Its totient is φ = 46998040320.

The previous prime is 172806128711. The next prime is 172806128741. The reversal of 172806128712 is 217821608271.

172806128712 is a `hidden beast` number, since 1 + 7 + 28 + 0 + 612 + 8 + 7 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (172806128711) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17116338 + ... + 17126430.

It is an arithmetic number, because the mean of its divisors is an integer number (1982108310).

Almost surely, 2^172806128712 is an apocalyptic number.

172806128712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172806128712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285423596640).

172806128712 is an abundant number, since it is smaller than the sum of its proper divisors (398041064568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

172806128712 is a wasteful number, since it uses less digits than its factorization.

172806128712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10353 (or 10339 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 172806128712 in words is "one hundred seventy-two billion, eight hundred six million, one hundred twenty-eight thousand, seven hundred twelve".