305172 has 54 divisors (see below), whose sum is σ = 902538. Its totient is φ = 86688.

The previous prime is 305147. The next prime is 305209. The reversal of 305172 is 271503.

It can be written as a sum of positive squares in only one way, i.e., 298116 + 7056 = 546^2 + 84^2 .

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

It is a congruent number.

It is an unprimeable number.

305172 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1678 + ... + 1850.

2³⁰⁵¹⁷² 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 305172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451269).

305172 is an abundant number, since it is smaller than the sum of its proper divisors (597366).

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

305172 is a wasteful number, since it uses less digits than its factorization.

305172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 305172 is about 552.4237503946. The cubic root of 305172 is about 67.3258059966.

Adding to 305172 its reverse (271503), we get a palindrome (576675).

The spelling of 305172 in words is "three hundred five thousand, one hundred seventy-two".