239072000 has 144 divisors (see below), whose sum is σ = 617320704. Its totient is φ = 92160000.

The previous prime is 239071999. The next prime is 239072011. The reversal of 239072000 is 270932.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991880 + ... + 992120.

Almost surely, 2^239072000 is an apocalyptic number.

239072000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308660352).

239072000 is an abundant number, since it is smaller than the sum of its proper divisors (378248704).

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

239072000 is an equidigital number, since it uses as much as digits as its factorization.

239072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 239072000 is about 15461.9533048060. The cubic root of 239072000 is about 620.6444911085.

The spelling of 239072000 in words is "two hundred thirty-nine million, seventy-two thousand".