7144200 has 252 divisors, whose sum is σ = 28969965. Its totient is φ = 1632960.

The previous prime is 7144153. The next prime is 7144201. The reversal of 7144200 is 24417.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 7001316 + 142884 = 2646^2 + 378^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1890.

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

It is not an unprimeable number, because it can be changed into a prime (7144201) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1020597 + ... + 1020603.

Almost surely, 2^7144200 is an apocalyptic number.

7144200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7144200

7144200 is an abundant number, since it is smaller than the sum of its proper divisors (21825765).

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

7144200 is a wasteful number, since it uses less digits than its factorization.

7144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 7144200 is about 2672.8636328851. The cubic root of 7144200 is about 192.5977465017.

Multiplying 7144200 by its sum of digits (18), we get a square (128595600 = 11340²).

7144200 divided by its sum of digits (18) gives a square (396900 = 630²).

Adding to 7144200 its reverse (24417), we get a palindrome (7168617).

The spelling of 7144200 in words is "seven million, one hundred forty-four thousand, two hundred".