7201022400 has 756 divisors, whose sum is σ = 30346238520. Its totient is φ = 1605427200.

The previous prime is 7201022357. The next prime is 7201022453. The reversal of 7201022400 is 42201027.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26769466 + ... + 26769734.

Almost surely, 2^7201022400 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 7201022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15173119260).

7201022400 is an abundant number, since it is smaller than the sum of its proper divisors (23145216120).

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

7201022400 is a wasteful number, since it uses less digits than its factorization.

7201022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 303 counting only the distinct ones).

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

The square root of 7201022400 is about 84858.8380783051. The cubic root of 7201022400 is about 1931.0701645471.

Adding to 7201022400 its reverse (42201027), we get a palindrome (7243223427).

The spelling of 7201022400 in words is "seven billion, two hundred one million, twenty-two thousand, four hundred".