233127072 has 120 divisors (see below), whose sum is σ = 698968116. Its totient is φ = 76197888.

The previous prime is 233127049. The next prime is 233127073. The reversal of 233127072 is 270721332.

It is a happy number.

233127072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 196112016 + 37015056 = 14004^2 + 6084^2 .

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 (233127073) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136528 + ... + 138224.

Almost surely, 2^233127072 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 233127072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349484058).

233127072 is an abundant number, since it is smaller than the sum of its proper divisors (465841044).

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

233127072 is a wasteful number, since it uses less digits than its factorization.

233127072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 233127072 is about 15268.4993368700. The cubic root of 233127072 is about 615.4567932904.

It can be divided in two parts, 2331 and 27072, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 233127072 in words is "two hundred thirty-three million, one hundred twenty-seven thousand, seventy-two".