7201200 has 120 divisors (see below), whose sum is σ = 24493968. Its totient is φ = 1802240.

The previous prime is 7201189. The next prime is 7201211. The reversal of 7201200 is 21027.

7201200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7201189) and next prime (7201211).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20224 + ... + 20576.

Almost surely, 2^7201200 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 7201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12246984).

7201200 is an abundant number, since it is smaller than the sum of its proper divisors (17292768).

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

7201200 is a wasteful number, since it uses less digits than its factorization.

7201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 7201200 is about 2683.5051704813. The cubic root of 7201200 is about 193.1086039850.

Adding to 7201200 its reverse (21027), we get a palindrome (7222227).

The spelling of 7201200 in words is "seven million, two hundred one thousand, two hundred".