233386272 has 240 divisors, whose sum is σ = 826943040. Its totient is φ = 63078912.

The previous prime is 233386261. The next prime is 233386277. The reversal of 233386272 is 272683332.

It is a happy number.

233386272 is a `hidden beast` number, since 2 + 3 + 3 + 386 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233386277) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344398 + ... + 345074.

It is an arithmetic number, because the mean of its divisors is an integer number (3445596).

Almost surely, 2^233386272 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 233386272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413471520).

233386272 is an abundant number, since it is smaller than the sum of its proper divisors (593556768).

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

233386272 is a wasteful number, since it uses less digits than its factorization.

233386272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 708 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 233386272 is about 15276.9850428676. The cubic root of 233386272 is about 615.6848052974.

The spelling of 233386272 in words is "two hundred thirty-three million, three hundred eighty-six thousand, two hundred seventy-two".