171055872 has 108 divisors (see below), whose sum is σ = 531227424. Its totient is φ = 52623360.

The previous prime is 171055867. The next prime is 171055873. The reversal of 171055872 is 278550171.

171055872 is a `hidden beast` number, since 1 + 71 + 0 + 5 + 587 + 2 = 666.

It is a super-2 number, since 2×171055872² = 58520222691360768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (171055873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27097 + ... + 32807.

Almost surely, 2^171055872 is an apocalyptic number.

171055872 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 171055872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265613712).

171055872 is an abundant number, since it is smaller than the sum of its proper divisors (360171552).

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

171055872 is a wasteful number, since it uses less digits than its factorization.

171055872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5746 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 171055872 is about 13078.8329754608. The cubic root of 171055872 is about 555.1103554600.

The spelling of 171055872 in words is "one hundred seventy-one million, fifty-five thousand, eight hundred seventy-two".