7241203200 has 960 divisors, whose sum is σ = 31175147520. Its totient is φ = 1437696000.

The previous prime is 7241203187. The next prime is 7241203201. The reversal of 7241203200 is 23021427.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7241203201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91660761 + ... + 91660839.

It is an arithmetic number, because the mean of its divisors is an integer number (32474112).

Almost surely, 2^7241203200 is an apocalyptic number.

7241203200 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 7241203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15587573760).

7241203200 is an abundant number, since it is smaller than the sum of its proper divisors (23933944320).

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

7241203200 is a wasteful number, since it uses less digits than its factorization.

7241203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 7241203200 is about 85095.2595624457. The cubic root of 7241203200 is about 1934.6552143598.

Adding to 7241203200 its reverse (23021427), we get a palindrome (7264224627).

The spelling of 7241203200 in words is "seven billion, two hundred forty-one million, two hundred three thousand, two hundred".