239724672 has 256 divisors, whose sum is σ = 763776000. Its totient is φ = 65802240.

The previous prime is 239724623. The next prime is 239724677. The reversal of 239724672 is 276427932.

239724672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (239724677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2327373 + ... + 2327475.

It is an arithmetic number, because the mean of its divisors is an integer number (2983500).

Almost surely, 2^239724672 is an apocalyptic number.

239724672 is a gapful number since it is divisible by the number (22) 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 239724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381888000).

239724672 is an abundant number, since it is smaller than the sum of its proper divisors (524051328).

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

239724672 is a wasteful number, since it uses less digits than its factorization.

239724672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 239724672 is about 15483.0446618228. The cubic root of 239724672 is about 621.2087691168.

The spelling of 239724672 in words is "two hundred thirty-nine million, seven hundred twenty-four thousand, six hundred seventy-two".