1272385107 has 36 divisors (see below), whose sum is σ = 2168118576. Its totient is φ = 716819040.

The previous prime is 1272385099. The next prime is 1272385123. The reversal of 1272385107 is 7015832721.

1272385107 is a `hidden beast` number, since 1 + 272 + 385 + 1 + 0 + 7 = 666.

It is not a de Polignac number, because 1272385107 - 2³ = 1272385099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1272385307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10993 + ... + 51629.

It is an arithmetic number, because the mean of its divisors is an integer number (60225516).

Almost surely, 2^1272385107 is an apocalyptic number.

1272385107 is a deficient number, since it is larger than the sum of its proper divisors (895733469).

1272385107 is a wasteful number, since it uses less digits than its factorization.

1272385107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40728 (or 40718 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1272385107 is about 35670.5075237233. The cubic root of 1272385107 is about 1083.6096377566.

The spelling of 1272385107 in words is "one billion, two hundred seventy-two million, three hundred eighty-five thousand, one hundred seven".