1272832560 has 120 divisors (see below), whose sum is σ = 4390217520. Its totient is φ = 330241536.

The previous prime is 1272832559. The next prime is 1272832571. The reversal of 1272832560 is 652382721.

1272832560 is a `hidden beast` number, since 1 + 272 + 8 + 325 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2751 + ... + 50529.

It is an arithmetic number, because the mean of its divisors is an integer number (36585146).

Almost surely, 2^1272832560 is an apocalyptic number.

1272832560 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 1272832560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195108760).

1272832560 is an abundant number, since it is smaller than the sum of its proper divisors (3117384960).

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

1272832560 is a wasteful number, since it uses less digits than its factorization.

1272832560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47835 (or 47826 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1272832560 is about 35676.7790025950. The cubic root of 1272832560 is about 1083.7366453098.

The spelling of 1272832560 in words is "one billion, two hundred seventy-two million, eight hundred thirty-two thousand, five hundred sixty".