1272643200 has 144 divisors (see below), whose sum is σ = 4541185350. Its totient is φ = 339363840.

The previous prime is 1272643181. The next prime is 1272643219. The reversal of 1272643200 is 23462721.

1272643200 is a `hidden beast` number, since 12 + 7 + 2 + 643 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1272643181) and next prime (1272643219).

It can be written as a sum of positive squares in 3 ways, for example, as 512207424 + 760435776 = 22632^2 + 27576^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6706 + ... + 50894.

Almost surely, 2^1272643200 is an apocalyptic number.

1272643200 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 1272643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270592675).

1272643200 is an abundant number, since it is smaller than the sum of its proper divisors (3268542150).

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

1272643200 is a wasteful number, since it uses less digits than its factorization.

1272643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44219 (or 44199 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1272643200 is about 35674.1250768677. The cubic root of 1272643200 is about 1083.6828999456.

The spelling of 1272643200 in words is "one billion, two hundred seventy-two million, six hundred forty-three thousand, two hundred".