230072832 has 320 divisors, whose sum is σ = 795484800. Its totient is φ = 64880640.

The previous prime is 230072831. The next prime is 230072867. The reversal of 230072832 is 238270032.

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

It is a junction number, because it is equal to n+sod(n) for n = 230072796 and 230072805.

It is not an unprimeable number, because it can be changed into a prime (230072831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2585044 + ... + 2585132.

It is an arithmetic number, because the mean of its divisors is an integer number (2485890).

Almost surely, 2^230072832 is an apocalyptic number.

230072832 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 230072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397742400).

230072832 is an abundant number, since it is smaller than the sum of its proper divisors (565411968).

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

230072832 is a wasteful number, since it uses less digits than its factorization.

230072832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 230072832 is about 15168.1518979736. The cubic root of 230072832 is about 612.7572326181.

The spelling of 230072832 in words is "two hundred thirty million, seventy-two thousand, eight hundred thirty-two".