1872721680 has 80 divisors (see below), whose sum is σ = 5851244544. Its totient is φ = 495452160.

The previous prime is 1872721679. The next prime is 1872721691. The reversal of 1872721680 is 861272781.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241 + ... + 61200.

Almost surely, 2^1872721680 is an apocalyptic number.

1872721680 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 1872721680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925622272).

1872721680 is an abundant number, since it is smaller than the sum of its proper divisors (3978522864).

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

1872721680 is a wasteful number, since it uses less digits than its factorization.

1872721680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61584 (or 61578 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 1872721680 is about 43274.9544193867. The cubic root of 1872721680 is about 1232.6063840410.

The spelling of 1872721680 in words is "one billion, eight hundred seventy-two million, seven hundred twenty-one thousand, six hundred eighty".