172168000201 has 8 divisors (see below), whose sum is σ = 173226297608. Its totient is φ = 171110880000.

The previous prime is 172168000163. The next prime is 172168000237. The reversal of 172168000201 is 102000861271.

172168000201 is a nontrivial binomial coefficient, being equal to C(586802, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 3020052025 + 169147948176 = 54955^2 + 411276^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(172168000201) divides (172168000201-1)³.

It is a cyclic number.

It is not a de Polignac number, because 172168000201 - 2⁷ = 172168000073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 172168000201.

It is not an unprimeable number, because it can be changed into a prime (172168000271) 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, 1 + ... + 586801.

It is an arithmetic number, because the mean of its divisors is an integer number (21653287201).

Almost surely, 2^172168000201 is an apocalyptic number.

172168000201 is the 586801-st triangular number and also the 293401-st hexagonal number.

172168000201 is the 195601-st centered nonagonal number.

It is an amenable number.

172168000201 is a deficient number, since it is larger than the sum of its proper divisors (1058297407).

172168000201 is a wasteful number, since it uses less digits than its factorization.

172168000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588603.

The product of its (nonzero) digits is 1344, while the sum is 28.

Adding to 172168000201 its reverse (102000861271), we get a palindrome (274168861472).

The spelling of 172168000201 in words is "one hundred seventy-two billion, one hundred sixty-eight million, two hundred one", and thus it is an aban number.