173712 has 80 divisors (see below), whose sum is σ = 571392. Its totient is φ = 44160.

The previous prime is 173707. The next prime is 173713. The reversal of 173712 is 217371.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is not an unprimeable number, because it can be changed into a prime (173713) by changing a digit.

173712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3673 + ... + 3719.

2¹⁷³⁷¹² is an apocalyptic number.

173712 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 173712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285696).

173712 is an abundant number, since it is smaller than the sum of its proper divisors (397680).

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

173712 is a wasteful number, since it uses less digits than its factorization.

173712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 70 counting only the distinct ones).

The product of its digits is 294, while the sum is 21.

The square root of 173712 is about 416.7877157499. The cubic root of 173712 is about 55.7968832164.

The spelling of 173712 in words is "one hundred seventy-three thousand, seven hundred twelve", and thus it is an iban number.