82507200 has 84 divisors (see below), whose sum is σ = 270708120. Its totient is φ = 22000640.

The previous prime is 82507199. The next prime is 82507207. The reversal of 82507200 is 270528.

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 (82507207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3795 + ... + 13394.

Almost surely, 2^82507200 is an apocalyptic number.

82507200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82507200 is an abundant number, since it is smaller than the sum of its proper divisors (188200920).

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

82507200 is a wasteful number, since it uses less digits than its factorization.

82507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17214 (or 17199 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 82507200 is about 9083.3474006007. The cubic root of 82507200 is about 435.3420483178.

Adding to 82507200 its reverse (270528), we get a palindrome (82777728).

The spelling of 82507200 in words is "eighty-two million, five hundred seven thousand, two hundred".