1720225200 has 120 divisors (see below), whose sum is σ = 5750131968. Its totient is φ = 438775040.

The previous prime is 1720225183. The next prime is 1720225207. The reversal of 1720225200 is 25220271.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1720225207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3564 + ... + 58763.

Almost surely, 2^1720225200 is an apocalyptic number.

1720225200 is a gapful number since it is divisible by the number (10) 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 1720225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875065984).

1720225200 is an abundant number, since it is smaller than the sum of its proper divisors (4029906768).

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

1720225200 is a wasteful number, since it uses less digits than its factorization.

1720225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62371 (or 62360 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 1720225200 is about 41475.5976448803. The cubic root of 1720225200 is about 1198.1975718439.

Adding to 1720225200 its reverse (25220271), we get a palindrome (1745445471).

The spelling of 1720225200 in words is "one billion, seven hundred twenty million, two hundred twenty-five thousand, two hundred".