172144 has 40 divisors (see below), whose sum is σ = 401760. Its totient is φ = 69888.

The previous prime is 172127. The next prime is 172147. The reversal of 172144 is 441271.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172147) 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, 3222 + ... + 3274.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2¹⁷²¹⁴⁴ is an apocalyptic number.

172144 is a gapful number since it is divisible by the number (14) 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 172144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880).

172144 is an abundant number, since it is smaller than the sum of its proper divisors (229616).

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

172144 is a wasteful number, since it uses less digits than its factorization.

172144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

The product of its digits is 224, while the sum is 19.

The square root of 172144 is about 414.9023981613. The cubic root of 172144 is about 55.6284932368.

The spelling of 172144 in words is "one hundred seventy-two thousand, one hundred forty-four", and thus it is an iban number.