1272329856 has 320 divisors, whose sum is σ = 4431271680. Its totient is φ = 354834432.

The previous prime is 1272329843. The next prime is 1272329897. The reversal of 1272329856 is 6589232721.

1272329856 is a `hidden beast` number, since 1 + 272 + 329 + 8 + 56 = 666.

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

Its product of digits (362880) is a multiple of the sum of its prime divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3410886 + ... + 3411258.

It is an arithmetic number, because the mean of its divisors is an integer number (13847724).

Almost surely, 2^1272329856 is an apocalyptic number.

1272329856 is a gapful number since it is divisible by the number (16) 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 1272329856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215635840).

1272329856 is an abundant number, since it is smaller than the sum of its proper divisors (3158941824).

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

1272329856 is an equidigital number, since it uses as much as digits as its factorization.

1272329856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 432 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1272329856 is about 35669.7330519868. The cubic root of 1272329856 is about 1083.5939529395.

The spelling of 1272329856 in words is "one billion, two hundred seventy-two million, three hundred twenty-nine thousand, eight hundred fifty-six".