7872200 has 48 divisors (see below), whose sum is σ = 20921280. Its totient is φ = 2698560.

The previous prime is 7872191. The next prime is 7872217. The reversal of 7872200 is 22787.

It is a d-powerful number, because it can be written as 7 + 8⁷ + 7⁸ + 2¹¹ + 2¹³ + 0 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 7872200.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1412 + ... + 4211.

It is an arithmetic number, because the mean of its divisors is an integer number (435860).

Almost surely, 2^7872200 is an apocalyptic number.

7872200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7872200 is an abundant number, since it is smaller than the sum of its proper divisors (13049080).

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

7872200 is a wasteful number, since it uses less digits than its factorization.

7872200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5646 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 7872200 is about 2805.7441080754. The cubic root of 7872200 is about 198.9292780014.

Adding to 7872200 its reverse (22787), we get a palindrome (7894987).

The spelling of 7872200 in words is "seven million, eight hundred seventy-two thousand, two hundred".