239772 has 48 divisors (see below), whose sum is σ = 635040. Its totient is φ = 69888.

The previous prime is 239753. The next prime is 239779. The reversal of 239772 is 277932.

239772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×239772² = 114981223968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2¹⁵ + 3³ + 7² + 9⁵ + 7⁵ + 2¹⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239779) by changing a digit.

239772 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, 4498 + ... + 4550.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2²³⁹⁷⁷² 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 239772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

239772 is an abundant number, since it is smaller than the sum of its proper divisors (395268).

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

239772 is a wasteful number, since it uses less digits than its factorization.

239772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its digits is 5292, while the sum is 30.

The square root of 239772 is about 489.6651917382. The cubic root of 239772 is about 62.1249647449.

The spelling of 239772 in words is "two hundred thirty-nine thousand, seven hundred seventy-two".