238035072 has 192 divisors, whose sum is σ = 716284800. Its totient is φ = 69949440.

The previous prime is 238035047. The next prime is 238035113. The reversal of 238035072 is 270530832.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2183754 + ... + 2183862.

It is an arithmetic number, because the mean of its divisors is an integer number (3730650).

Almost surely, 2^238035072 is an apocalyptic number.

238035072 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 238035072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358142400).

238035072 is an abundant number, since it is smaller than the sum of its proper divisors (478249728).

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

238035072 is a wasteful number, since it uses less digits than its factorization.

238035072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 238035072 is about 15428.3852687182. The cubic root of 238035072 is about 619.7458826793.

The spelling of 238035072 in words is "two hundred thirty-eight million, thirty-five thousand, seventy-two".