7225201620 has 864 divisors, whose sum is σ = 30604863744. Its totient is φ = 1388482560.

The previous prime is 7225201601. The next prime is 7225201661. The reversal of 7225201620 is 261025227.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 233071005 + ... + 233071035.

It is an arithmetic number, because the mean of its divisors is an integer number (35422296).

Almost surely, 2^7225201620 is an apocalyptic number.

7225201620 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 7225201620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15302431872).

7225201620 is an abundant number, since it is smaller than the sum of its proper divisors (23379662124).

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

7225201620 is a wasteful number, since it uses less digits than its factorization.

7225201620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7225201620 is about 85001.1859917260. The cubic root of 7225201620 is about 1933.2290990838.

Adding to 7225201620 its reverse (261025227), we get a palindrome (7486226847).

The spelling of 7225201620 in words is "seven billion, two hundred twenty-five million, two hundred one thousand, six hundred twenty".