1722160800 has 216 divisors, whose sum is σ = 6188721084. Its totient is φ = 450478080.

The previous prime is 1722160787. The next prime is 1722160813. The reversal of 1722160800 is 80612271.

It is an interprime number because it is at equal distance from previous prime (1722160787) and next prime (1722160813).

It can be written as a sum of positive squares in 6 ways, for example, as 231891984 + 1490268816 = 15228^2 + 38604^2 .

It is a zygodrome in base 3.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 379344 + ... + 383856.

Almost surely, 2^1722160800 is an apocalyptic number.

1722160800 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 1722160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094360542).

1722160800 is an abundant number, since it is smaller than the sum of its proper divisors (4466560284).

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

1722160800 is a wasteful number, since it uses less digits than its factorization.

1722160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1722160800 is about 41498.9252872891. The cubic root of 1722160800 is about 1198.6468079663.

The spelling of 1722160800 in words is "one billion, seven hundred twenty-two million, one hundred sixty thousand, eight hundred".