7225730208 has 144 divisors (see below), whose sum is σ = 21058180416. Its totient is φ = 2349527040.

The previous prime is 7225730207. The next prime is 7225730221. The reversal of 7225730208 is 8020375227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7225730208² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7225730207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1981635 + ... + 1985277.

It is an arithmetic number, because the mean of its divisors is an integer number (146237364).

Almost surely, 2^7225730208 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 7225730208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529090208).

7225730208 is an abundant number, since it is smaller than the sum of its proper divisors (13832450208).

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

7225730208 is a wasteful number, since it uses less digits than its factorization.

7225730208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7225730208 is about 85004.2952326528. The cubic root of 7225730208 is about 1933.2762422565.

The spelling of 7225730208 in words is "seven billion, two hundred twenty-five million, seven hundred thirty thousand, two hundred eight".