307272 has 64 divisors (see below), whose sum is σ = 921600. Its totient is φ = 83520.

The previous prime is 307267. The next prime is 307273. The reversal of 307272 is 272703.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 307272.

It is not an unprimeable number, because it can be changed into a prime (307273) by changing a digit.

307272 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 15 ways as a sum of consecutive naturals, for example, 5179 + ... + 5237.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2³⁰⁷²⁷² 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 307272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460800).

307272 is an abundant number, since it is smaller than the sum of its proper divisors (614328).

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

307272 is a wasteful number, since it uses less digits than its factorization.

307272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 307272 is about 554.3212065220. The cubic root of 307272 is about 67.4798842665.

Adding to 307272 its reverse (272703), we get a palindrome (579975).

The spelling of 307272 in words is "three hundred seven thousand, two hundred seventy-two", and thus it is an iban number.