171672 has 32 divisors (see below), whose sum is σ = 449280. Its totient is φ = 54560.

The previous prime is 171671. The next prime is 171673. The reversal of 171672 is 276171.

171672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (171671) and next prime (171673).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171671) 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, 397 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2¹⁷¹⁶⁷² is an apocalyptic number.

171672 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 171672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224640).

171672 is an abundant number, since it is smaller than the sum of its proper divisors (277608).

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

171672 is a wasteful number, since it uses less digits than its factorization.

171672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its digits is 588, while the sum is 24.

The square root of 171672 is about 414.3331992491. Note that the first 3 decimals coincide. The cubic root of 171672 is about 55.5776042852.

The spelling of 171672 in words is "one hundred seventy-one thousand, six hundred seventy-two".