1772216000 has 224 divisors, whose sum is σ = 4733007552. Its totient is φ = 654950400.

The previous prime is 1772215999. The next prime is 1772216003. The reversal of 1772216000 is 6122771.

It is not an unprimeable number, because it can be changed into a prime (1772216003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11287922 + ... + 11288078.

It is an arithmetic number, because the mean of its divisors is an integer number (21129498).

Almost surely, 2^1772216000 is an apocalyptic number.

1772216000 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 1772216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366503776).

1772216000 is an abundant number, since it is smaller than the sum of its proper divisors (2960791552).

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

1772216000 is a wasteful number, since it uses less digits than its factorization.

1772216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 1772216000 is about 42097.6958989444. The cubic root of 1772216000 is about 1210.1491062296.

Adding to 1772216000 its reverse (6122771), we get a palindrome (1778338771).

The spelling of 1772216000 in words is "one billion, seven hundred seventy-two million, two hundred sixteen thousand".