1872788736 has 288 divisors, whose sum is σ = 6212190208. Its totient is φ = 487710720.

The previous prime is 1872788717. The next prime is 1872788737. The reversal of 1872788736 is 6378872781.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1872788737) 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, 8875671 + ... + 8875881.

Almost surely, 2^1872788736 is an apocalyptic number.

1872788736 is a gapful number since it is divisible by the number (16) 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 1872788736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106095104).

1872788736 is an abundant number, since it is smaller than the sum of its proper divisors (4339401472).

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

1872788736 is a wasteful number, since it uses less digits than its factorization.

1872788736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 363 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 57.

The square root of 1872788736 is about 43275.7291792986. The cubic root of 1872788736 is about 1232.6210957247.

The spelling of 1872788736 in words is "one billion, eight hundred seventy-two million, seven hundred eighty-eight thousand, seven hundred thirty-six".