306372 has 36 divisors (see below), whose sum is σ = 789488. Its totient is φ = 92400.

The previous prime is 306367. The next prime is 306377. The reversal of 306372 is 273603.

It is an interprime number because it is at equal distance from previous prime (306367) and next prime (306377).

It is not an unprimeable number, because it can be changed into a prime (306377) by changing a digit.

306372 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 11 ways as a sum of consecutive naturals, for example, 1347 + ... + 1557.

2³⁰⁶³⁷² 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 306372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394744).

306372 is an abundant number, since it is smaller than the sum of its proper divisors (483116).

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

306372 is a wasteful number, since it uses less digits than its factorization.

306372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 306372 is about 553.5088075180. The cubic root of 306372 is about 67.4139369548.

Adding to 306372 its reverse (273603), we get a palindrome (579975).

The spelling of 306372 in words is "three hundred six thousand, three hundred seventy-two".