83272200 has 288 divisors, whose sum is σ = 300814080. Its totient is φ = 19008000.

The previous prime is 83272183. The next prime is 83272201. The reversal of 83272200 is 227238.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83272201) 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 71 ways as a sum of consecutive naturals, for example, 2250582 + ... + 2250618.

Almost surely, 2^83272200 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 83272200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150407040).

83272200 is an abundant number, since it is smaller than the sum of its proper divisors (217541880).

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

83272200 is a wasteful number, since it uses less digits than its factorization.

83272200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 83272200 is about 9125.3602668607. The cubic root of 83272200 is about 436.6833964675.

Adding to 83272200 its reverse (227238), we get a palindrome (83499438).

The spelling of 83272200 in words is "eighty-three million, two hundred seventy-two thousand, two hundred".