7200400 has 60 divisors (see below), whose sum is σ = 17713152. Its totient is φ = 2811520.

The previous prime is 7200397. The next prime is 7200409. The reversal of 7200400 is 40027.

It is not an unprimeable number, because it can be changed into a prime (7200409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18609 + ... + 18991.

Almost surely, 2^7200400 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 7200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8856576).

7200400 is an abundant number, since it is smaller than the sum of its proper divisors (10512752).

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

7200400 is a wasteful number, since it uses less digits than its factorization.

7200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 7200400 is about 2683.3561075638. The cubic root of 7200400 is about 193.1014527415.

Adding to 7200400 its reverse (40027), we get a palindrome (7240427).

The spelling of 7200400 in words is "seven million, two hundred thousand, four hundred".