233772 has 72 divisors (see below), whose sum is σ = 715008. Its totient is φ = 58080.

The previous prime is 233759. The next prime is 233777. The reversal of 233772 is 277332.

233772 = T₁₃ + T₁₄ + ... + T₁₁₁.

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

It is not an unprimeable number, because it can be changed into a prime (233777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10153 + ... + 10175.

2²³³⁷⁷² is an apocalyptic number.

233772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 483×484.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357504).

233772 is an abundant number, since it is smaller than the sum of its proper divisors (481236).

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

233772 is a wasteful number, since it uses less digits than its factorization.

233772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 46 counting only the distinct ones).

The product of its digits is 1764, while the sum is 24.

The square root of 233772 is about 483.4997414684. The cubic root of 233772 is about 61.6023808604.

The spelling of 233772 in words is "two hundred thirty-three thousand, seven hundred seventy-two".