7225720320 has 640 divisors, whose sum is σ = 29148134400. Its totient is φ = 1517322240.

The previous prime is 7225720303. The next prime is 7225720351. The reversal of 7225720320 is 230275227.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×7225720320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34245015 + ... + 34245225.

It is an arithmetic number, because the mean of its divisors is an integer number (45543960).

Almost surely, 2^7225720320 is an apocalyptic number.

7225720320 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 7225720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14574067200).

7225720320 is an abundant number, since it is smaller than the sum of its proper divisors (21922414080).

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

7225720320 is a wasteful number, since it uses less digits than its factorization.

7225720320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 7225720320 is about 85004.2370708661. The cubic root of 7225720320 is about 1933.2753603967.

Adding to 7225720320 its reverse (230275227), we get a palindrome (7455995547).

The spelling of 7225720320 in words is "seven billion, two hundred twenty-five million, seven hundred twenty thousand, three hundred twenty".