305272 has 16 divisors (see below), whose sum is σ = 624600. Its totient is φ = 138720.

The previous prime is 305267. The next prime is 305281. The reversal of 305272 is 272503.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

305272 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 3 ways as a sum of consecutive naturals, for example, 1647 + ... + 1822.

2³⁰⁵²⁷² is an apocalyptic number.

It is an amenable number.

305272 is an abundant number, since it is smaller than the sum of its proper divisors (319328).

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

305272 is a wasteful number, since it uses less digits than its factorization.

305272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 305272 is about 552.5142532098. The cubic root of 305272 is about 67.3331590580. Note that the first 3 decimals are identical.

Adding to 305272 its reverse (272503), we get a palindrome (577775).

The spelling of 305272 in words is "three hundred five thousand, two hundred seventy-two".