309672 has 96 divisors (see below), whose sum is σ = 1010880. Its totient is φ = 84480.

The previous prime is 309671. The next prime is 309677. The reversal of 309672 is 276903.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (309671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13453 + ... + 13475.

It is an arithmetic number, because the mean of its divisors is an integer number (10530).

2³⁰⁹⁶⁷² 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 309672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505440).

309672 is an abundant number, since it is smaller than the sum of its proper divisors (701208).

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

309672 is a wasteful number, since it uses less digits than its factorization.

309672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 309672 is about 556.4818056325. The cubic root of 309672 is about 67.6551165167.

The spelling of 309672 in words is "three hundred nine thousand, six hundred seventy-two".