82718200 has 48 divisors (see below), whose sum is σ = 195221880. Its totient is φ = 32588160.

The previous prime is 82718183. The next prime is 82718219. The reversal of 82718200 is 281728.

It is a super-2 number, since 2×82718200² = 13684601222480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10314 + ... + 16486.

Almost surely, 2^82718200 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 82718200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97610940).

82718200 is an abundant number, since it is smaller than the sum of its proper divisors (112503680).

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

82718200 is a wasteful number, since it uses less digits than its factorization.

82718200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6256 (or 6247 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 82718200 is about 9094.9546452965. The cubic root of 82718200 is about 435.7128401175.

Adding to 82718200 its reverse (281728), we get a palindrome (82999928).

It can be divided in two parts, 8271 and 8200, that added together give a triangular number (16471 = T₁₈₁).

The spelling of 82718200 in words is "eighty-two million, seven hundred eighteen thousand, two hundred".