230049072 has 210 divisors, whose sum is σ = 739055996. Its totient is φ = 69284160.

The previous prime is 230049019. The next prime is 230049077. The reversal of 230049072 is 270940032.

It is a super-2 number, since 2×230049072² = 105845151056122368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (230049077) 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 41 ways as a sum of consecutive naturals, for example, 1411263 + ... + 1411425.

Almost surely, 2^230049072 is an apocalyptic number.

230049072 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 230049072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369527998).

230049072 is an abundant number, since it is smaller than the sum of its proper divisors (509006924).

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

230049072 is a wasteful number, since it uses less digits than its factorization.

230049072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 230049072 is about 15167.3686577468. The cubic root of 230049072 is about 612.7361384093.

The spelling of 230049072 in words is "two hundred thirty million, forty-nine thousand, seventy-two".