1732243968 has 640 divisors, whose sum is σ = 6764567040. Its totient is φ = 429981696.

The previous prime is 1732243963. The next prime is 1732243987. The reversal of 1732243968 is 8693422371.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (435456) is a multiple of the sum of its prime divisors (42).

It is not an unprimeable number, because it can be changed into a prime (1732243963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101896696 + ... + 101896712.

It is an arithmetic number, because the mean of its divisors is an integer number (10569636).

Almost surely, 2^1732243968 is an apocalyptic number.

1732243968 is a gapful number since it is divisible by the number (18) 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 1732243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382283520).

1732243968 is an abundant number, since it is smaller than the sum of its proper divisors (5032323072).

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

1732243968 is an frugal number, since it uses more digits than its factorization.

1732243968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 42 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 1732243968 is about 41620.2350786249. The cubic root of 1732243968 is about 1200.9815968374.

The spelling of 1732243968 in words is "one billion, seven hundred thirty-two million, two hundred forty-three thousand, nine hundred sixty-eight".