1872193600 has 168 divisors, whose sum is σ = 4814636040. Its totient is φ = 715653120.

The previous prime is 1872193579. The next prime is 1872193607. The reversal of 1872193600 is 63912781.

It can be written as a sum of positive squares in 12 ways, for example, as 162205696 + 1709987904 = 12736^2 + 41352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1872193600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1872193607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7284672 + ... + 7284928.

Almost surely, 2^1872193600 is an apocalyptic number.

1872193600 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 1872193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407318020).

1872193600 is an abundant number, since it is smaller than the sum of its proper divisors (2942442440).

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

1872193600 is a wasteful number, since it uses less digits than its factorization.

1872193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 1872193600 is about 43268.8525385178. The cubic root of 1872193600 is about 1232.4905141854.

The spelling of 1872193600 in words is "one billion, eight hundred seventy-two million, one hundred ninety-three thousand, six hundred".