82371200 has 48 divisors (see below), whose sum is σ = 203490510. Its totient is φ = 32947200.

The previous prime is 82371181. The next prime is 82371203. The reversal of 82371200 is 217328.

It can be written as a sum of positive squares in 3 ways, for example, as 68293696 + 14077504 = 8264^2 + 3752^2 .

It is not an unprimeable number, because it can be changed into a prime (82371203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9671 + ... + 16070.

Almost surely, 2^82371200 is an apocalyptic number.

82371200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82371200 is an abundant number, since it is smaller than the sum of its proper divisors (121119310).

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

82371200 is a wasteful number, since it uses less digits than its factorization.

82371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25765 (or 25748 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 82371200 is about 9075.8580861536. The cubic root of 82371200 is about 435.1027193896.

Adding to 82371200 its reverse (217328), we get a palindrome (82588528).

The spelling of 82371200 in words is "eighty-two million, three hundred seventy-one thousand, two hundred".