309272 has 16 divisors (see below), whose sum is σ = 589560. Its totient is φ = 152064.

The previous prime is 309271. The next prime is 309277. The reversal of 309272 is 272903.

309272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309271) by changing a digit.

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, 248 + ... + 824.

2³⁰⁹²⁷² is an apocalyptic number.

It is an amenable number.

309272 is a deficient number, since it is larger than the sum of its proper divisors (280288).

309272 is a wasteful number, since it uses less digits than its factorization.

309272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 309272 is about 556.1222887100. The cubic root of 309272 is about 67.6259741695.

It can be divided in two parts, 309 and 272, that multiplied together give a palindrome (84048).

The spelling of 309272 in words is "three hundred nine thousand, two hundred seventy-two".