306272 has 24 divisors (see below), whose sum is σ = 639576. Its totient is φ = 143872.

The previous prime is 306263. The next prime is 306301. The reversal of 306272 is 272603.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306272.

It is an unprimeable number.

306272 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 3 ways as a sum of consecutive naturals, for example, 263 + ... + 825.

It is an arithmetic number, because the mean of its divisors is an integer number (26649).

2³⁰⁶²⁷² is an apocalyptic number.

306272 is a gapful number since it is divisible by the number (32) 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 306272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319788).

306272 is an abundant number, since it is smaller than the sum of its proper divisors (333304).

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

306272 is a wasteful number, since it uses less digits than its factorization.

306272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 306272 is about 553.4184673464. The cubic root of 306272 is about 67.4066015071.

Adding to 306272 its reverse (272603), we get a palindrome (578875).

The spelling of 306272 in words is "three hundred six thousand, two hundred seventy-two".