230320272 has 160 divisors (see below), whose sum is σ = 744174592. Its totient is φ = 59761152.

The previous prime is 230320271. The next prime is 230320333. The reversal of 230320272 is 272023032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (230320271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292263 + ... + 293049.

Almost surely, 2^230320272 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 230320272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372087296).

230320272 is an abundant number, since it is smaller than the sum of its proper divisors (513854320).

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

230320272 is a wasteful number, since it uses less digits than its factorization.

230320272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 230320272 is about 15176.3062699723. The cubic root of 230320272 is about 612.9768244252.

The spelling of 230320272 in words is "two hundred thirty million, three hundred twenty thousand, two hundred seventy-two".