7072200 has 72 divisors (see below), whose sum is σ = 23756850. Its totient is φ = 1885440.

The previous prime is 7072193. The next prime is 7072243. The reversal of 7072200 is 22707.

It can be written as a sum of positive squares in 3 ways, for example, as 3896676 + 3175524 = 1974^2 + 1782^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 165 + ... + 3764.

Almost surely, 2^7072200 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 7072200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11878425).

7072200 is an abundant number, since it is smaller than the sum of its proper divisors (16684650).

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

7072200 is a wasteful number, since it uses less digits than its factorization.

7072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 7072200 is about 2659.3608254616. The cubic root of 7072200 is about 191.9485539247.

Adding to 7072200 its reverse (22707), we get a palindrome (7094907).

The spelling of 7072200 in words is "seven million, seventy-two thousand, two hundred".