230565972 has 192 divisors, whose sum is σ = 702464000. Its totient is φ = 58423680.

The previous prime is 230565971. The next prime is 230565983. The reversal of 230565972 is 279565032.

230565972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 230565972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230565971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1658679 + ... + 1658817.

Almost surely, 2^230565972 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 230565972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351232000).

230565972 is an abundant number, since it is smaller than the sum of its proper divisors (471898028).

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

230565972 is a wasteful number, since it uses less digits than its factorization.

230565972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 230565972 is about 15184.3989673612. The cubic root of 230565972 is about 613.1947164950.

The spelling of 230565972 in words is "two hundred thirty million, five hundred sixty-five thousand, nine hundred seventy-two".