1272709760 has 192 divisors, whose sum is σ = 3697557120. Its totient is φ = 410271744.

The previous prime is 1272709733. The next prime is 1272709769. The reversal of 1272709760 is 679072721.

It is not an unprimeable number, because it can be changed into a prime (1272709769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1294229 + ... + 1295211.

It is an arithmetic number, because the mean of its divisors is an integer number (19258110).

Almost surely, 2^1272709760 is an apocalyptic number.

1272709760 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 1272709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848778560).

1272709760 is an abundant number, since it is smaller than the sum of its proper divisors (2424847360).

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

1272709760 is an equidigital number, since it uses as much as digits as its factorization.

1272709760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 41.

The square root of 1272709760 is about 35675.0579537021. The cubic root of 1272709760 is about 1083.7017920373.

The spelling of 1272709760 in words is "one billion, two hundred seventy-two million, seven hundred nine thousand, seven hundred sixty".