1872718848 has 792 divisors, whose sum is σ = 7644808080. Its totient is φ = 433520640.

The previous prime is 1872718847. The next prime is 1872718873. The reversal of 1872718848 is 8488172781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (792).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1872718794 and 1872718803.

It is not an unprimeable number, because it can be changed into a prime (1872718847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64576498 + ... + 64576526.

Almost surely, 2^1872718848 is an apocalyptic number.

1872718848 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 1872718848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822404040).

1872718848 is an abundant number, since it is smaller than the sum of its proper divisors (5772089232).

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

1872718848 is a wasteful number, since it uses less digits than its factorization.

1872718848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 54.

The square root of 1872718848 is about 43274.9216983694. The cubic root of 1872718848 is about 1232.6057627095.

The spelling of 1872718848 in words is "one billion, eight hundred seventy-two million, seven hundred eighteen thousand, eight hundred forty-eight".