172064 has 24 divisors (see below), whose sum is σ = 357840. Its totient is φ = 81216.

The previous prime is 172049. The next prime is 172069. The reversal of 172064 is 460271.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 172064.

It is not an unprimeable number, because it can be changed into a prime (172069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 467 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (14910).

2¹⁷²⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178920).

172064 is an abundant number, since it is smaller than the sum of its proper divisors (185776).

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

172064 is a wasteful number, since it uses less digits than its factorization.

172064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 172064 is about 414.8059787419. The cubic root of 172064 is about 55.6198745435.

The spelling of 172064 in words is "one hundred seventy-two thousand, sixty-four".