7201141200 has 360 divisors, whose sum is σ = 27902365920. Its totient is φ = 1704729600.

The previous prime is 7201141147. The next prime is 7201141201. The reversal of 7201141200 is 21411027.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7201141201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1700686 + ... + 1704914.

It is an arithmetic number, because the mean of its divisors is an integer number (77506572).

Almost surely, 2^7201141200 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 7201141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13951182960).

7201141200 is an abundant number, since it is smaller than the sum of its proper divisors (20701224720).

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

7201141200 is a wasteful number, since it uses less digits than its factorization.

7201141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4307 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 7201141200 is about 84859.5380614342. The cubic root of 7201141200 is about 1931.0807838666.

Adding to 7201141200 its reverse (21411027), we get a palindrome (7222552227).

The spelling of 7201141200 in words is "seven billion, two hundred one million, one hundred forty-one thousand, two hundred".