173376 has 84 divisors (see below), whose sum is σ = 581152. Its totient is φ = 48384.

The previous prime is 173359. The next prime is 173429. The reversal of 173376 is 673371.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is an Ulam number.

It is a nialpdrome in base 4 and base 12.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4011 + ... + 4053.

2¹⁷³³⁷⁶ is an apocalyptic number.

173376 is a gapful number since it is divisible by the number (16) 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 173376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290576).

173376 is an abundant number, since it is smaller than the sum of its proper divisors (407776).

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

173376 is a wasteful number, since it uses less digits than its factorization.

173376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 55 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 173376 is about 416.3844377495. The cubic root of 173376 is about 55.7608852172.

The spelling of 173376 in words is "one hundred seventy-three thousand, three hundred seventy-six".