233112672 has 288 divisors, whose sum is σ = 784274400. Its totient is φ = 65028096.

The previous prime is 233112641. The next prime is 233112679. The reversal of 233112672 is 276211332.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233112679) 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 47 ways as a sum of consecutive naturals, for example, 2062888 + ... + 2063000.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175).

Almost surely, 2^233112672 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 233112672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392137200).

233112672 is an abundant number, since it is smaller than the sum of its proper divisors (551161728).

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

233112672 is a wasteful number, since it uses less digits than its factorization.

233112672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

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

The square root of 233112672 is about 15268.0277704751. The cubic root of 233112672 is about 615.4441210022. Note that the first 3 decimals are identical.

The spelling of 233112672 in words is "two hundred thirty-three million, one hundred twelve thousand, six hundred seventy-two".