232072200 has 144 divisors (see below), whose sum is σ = 804710400. Its totient is φ = 59875200.

The previous prime is 232072199. The next prime is 232072207. The reversal of 232072200 is 2270232.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (232072207) 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 35 ways as a sum of consecutive naturals, for example, 53721 + ... + 57879.

Almost surely, 2^232072200 is an apocalyptic number.

232072200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232072200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402355200).

232072200 is an abundant number, since it is smaller than the sum of its proper divisors (572638200).

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

232072200 is a wasteful number, since it uses less digits than its factorization.

232072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 232072200 is about 15233.9161084732. The cubic root of 232072200 is about 614.5271002717.

The spelling of 232072200 in words is "two hundred thirty-two million, seventy-two thousand, two hundred".