7200144 has 80 divisors (see below), whose sum is σ = 23629440. Its totient is φ = 2056320.

The previous prime is 7200143. The next prime is 7200157. The reversal of 7200144 is 4410027.

It is a happy number.

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 (7200143) 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 15 ways as a sum of consecutive naturals, for example, 1834 + ... + 4214.

It is an arithmetic number, because the mean of its divisors is an integer number (295368).

Almost surely, 2^7200144 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 7200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11814720).

7200144 is an abundant number, since it is smaller than the sum of its proper divisors (16429296).

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

7200144 is a wasteful number, since it uses less digits than its factorization.

7200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2393 counting only the distinct ones).

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

The square root of 7200144 is about 2683.3084056813. The cubic root of 7200144 is about 193.0991642317.

The spelling of 7200144 in words is "seven million, two hundred thousand, one hundred forty-four".