230265072 has 160 divisors (see below), whose sum is σ = 687009600. Its totient is φ = 73801728.

The previous prime is 230265071. The next prime is 230265073. The reversal of 230265072 is 270562032.

230265072 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 650 + 7 + 2 = 666.

230265072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230265071) and next prime (230265073).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230265071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2037688 + ... + 2037800.

It is an arithmetic number, because the mean of its divisors is an integer number (4293810).

Almost surely, 2^230265072 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 230265072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343504800).

230265072 is an abundant number, since it is smaller than the sum of its proper divisors (456744528).

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

230265072 is a wasteful number, since it uses less digits than its factorization.

230265072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 230265072 is about 15174.4875366518. The cubic root of 230265072 is about 612.9278505566.

The spelling of 230265072 in words is "two hundred thirty million, two hundred sixty-five thousand, seventy-two".