233671872 has 168 divisors, whose sum is σ = 731910144. Its totient is φ = 64447488.

The previous prime is 233671819. The next prime is 233671897. The reversal of 233671872 is 278176332.

233671872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 233671872.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1839873 + ... + 1839999.

It is an arithmetic number, because the mean of its divisors is an integer number (4356608).

Almost surely, 2^233671872 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 233671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365955072).

233671872 is an abundant number, since it is smaller than the sum of its proper divisors (498238272).

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

233671872 is a wasteful number, since it uses less digits than its factorization.

233671872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 176 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 233671872 is about 15286.3295790716. The cubic root of 233671872 is about 615.9358453455.

The spelling of 233671872 in words is "two hundred thirty-three million, six hundred seventy-one thousand, eight hundred seventy-two".