82732200 has 96 divisors (see below), whose sum is σ = 271589760. Its totient is φ = 20761600.

The previous prime is 82732187. The next prime is 82732241. The reversal of 82732200 is 223728.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6145 + ... + 14255.

It is an arithmetic number, because the mean of its divisors is an integer number (2829060).

Almost surely, 2^82732200 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 82732200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135794880).

82732200 is an abundant number, since it is smaller than the sum of its proper divisors (188857560).

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

82732200 is a wasteful number, since it uses less digits than its factorization.

82732200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8147 (or 8138 counting only the distinct ones).

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

The square root of 82732200 is about 9095.7242702272. The cubic root of 82732200 is about 435.7374200998.

Adding to 82732200 its reverse (223728), we get a palindrome (82955928).

The spelling of 82732200 in words is "eighty-two million, seven hundred thirty-two thousand, two hundred".