1272065280 has 144 divisors (see below), whose sum is σ = 4203118080. Its totient is φ = 327491584.

The previous prime is 1272065279. The next prime is 1272065281. The reversal of 1272065280 is 825602721.

It is an interprime number because it is at equal distance from previous prime (1272065279) and next prime (1272065281).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272065281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105649 + ... + 117071.

It is an arithmetic number, because the mean of its divisors is an integer number (29188320).

Almost surely, 2^1272065280 is an apocalyptic number.

1272065280 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 1272065280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101559040).

1272065280 is an abundant number, since it is smaller than the sum of its proper divisors (2931052800).

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

1272065280 is a wasteful number, since it uses less digits than its factorization.

1272065280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11476 (or 11462 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1272065280 is about 35666.0241686679. The cubic root of 1272065280 is about 1083.5188380295.

The spelling of 1272065280 in words is "one billion, two hundred seventy-two million, sixty-five thousand, two hundred eighty".