171072 has 84 divisors (see below), whose sum is σ = 554736. Its totient is φ = 51840.

The previous prime is 171053. The next prime is 171077. The reversal of 171072 is 270171.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (171077) 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, 15547 + ... + 15557.

It is an arithmetic number, because the mean of its divisors is an integer number (6604).

2¹⁷¹⁰⁷² is an apocalyptic number.

171072 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 171072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277368).

171072 is an abundant number, since it is smaller than the sum of its proper divisors (383664).

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

171072 is an equidigital number, since it uses as much as digits as its factorization.

171072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 171072 is about 413.6085105507. The cubic root of 171072 is about 55.5127801102.

Subtracting 171072 from its reverse (270171), we obtain a palindrome (99099).

It can be divided in two parts, 17 and 1072, that added together give a square (1089 = 33²).

The spelling of 171072 in words is "one hundred seventy-one thousand, seventy-two", and thus it is an iban number.