239972 has 12 divisors (see below), whose sum is σ = 444780. Its totient is φ = 112896.

The previous prime is 239963. The next prime is 239977. The reversal of 239972 is 279932.

239972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 98596 + 141376 = 314^2 + 376^2 .

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁷ + 3¹¹ + 9⁴ + 9⁴ + 7⁵ + 2¹⁵ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 239972.

It is not an unprimeable number, because it can be changed into a prime (239977) by changing a digit.

239972 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 3 ways as a sum of consecutive naturals, for example, 1697 + ... + 1832.

It is an arithmetic number, because the mean of its divisors is an integer number (37065).

2²³⁹⁹⁷² is an apocalyptic number.

It is an amenable number.

239972 is a deficient number, since it is larger than the sum of its proper divisors (204808).

239972 is a wasteful number, since it uses less digits than its factorization.

239972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3548 counting only the distinct ones).

The product of its digits is 6804, while the sum is 32.

The square root of 239972 is about 489.8693703427. The cubic root of 239972 is about 62.1422332887.

The spelling of 239972 in words is "two hundred thirty-nine thousand, nine hundred seventy-two".