1872907272 has 240 divisors, whose sum is σ = 5690177460. Its totient is φ = 575299584.

The previous prime is 1872907271. The next prime is 1872907303. The reversal of 1872907272 is 2727092781.

It can be written as a sum of positive squares in 6 ways, for example, as 1572439716 + 300467556 = 39654^2 + 17334^2 .

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1872907271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13670788 + ... + 13670924.

Almost surely, 2^1872907272 is an apocalyptic number.

1872907272 is a gapful number since it is divisible by the number (12) 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 1872907272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845088730).

1872907272 is an abundant number, since it is smaller than the sum of its proper divisors (3817270188).

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

1872907272 is a wasteful number, since it uses less digits than its factorization.

1872907272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 1872907272 is about 43277.0987012762. The cubic root of 1872907272 is about 1232.6471009523.

The spelling of 1872907272 in words is "one billion, eight hundred seventy-two million, nine hundred seven thousand, two hundred seventy-two".