1272267360 has 864 divisors, whose sum is σ = 5803630560. Its totient is φ = 250822656.

The previous prime is 1272267329. The next prime is 1272267383. The reversal of 1272267360 is 637622721.

It is a happy number.

1272267360 is a `hidden beast` number, since 1 + 272 + 26 + 7 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 17428284 + ... + 17428356.

It is an arithmetic number, because the mean of its divisors is an integer number (6717165).

Almost surely, 2^1272267360 is an apocalyptic number.

1272267360 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 1272267360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901815280).

1272267360 is an abundant number, since it is smaller than the sum of its proper divisors (4531363200).

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

1272267360 is a wasteful number, since it uses less digits than its factorization.

1272267360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1272267360 is about 35668.8570043953. The cubic root of 1272267360 is about 1083.5762108432.

The spelling of 1272267360 in words is "one billion, two hundred seventy-two million, two hundred sixty-seven thousand, three hundred sixty".