171085272 has 64 divisors (see below), whose sum is σ = 458784000. Its totient is φ = 53000064.

The previous prime is 171085207. The next prime is 171085279. The reversal of 171085272 is 272580171.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171085279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20629 + ... + 27707.

It is an arithmetic number, because the mean of its divisors is an integer number (7168500).

Almost surely, 2^171085272 is an apocalyptic number.

171085272 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 171085272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229392000).

171085272 is an abundant number, since it is smaller than the sum of its proper divisors (287698728).

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

171085272 is a wasteful number, since it uses less digits than its factorization.

171085272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7160 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 171085272 is about 13079.9568806629. The cubic root of 171085272 is about 555.1421565890.

The spelling of 171085272 in words is "one hundred seventy-one million, eighty-five thousand, two hundred seventy-two".