1267486272 has 224 divisors, whose sum is σ = 4250131200. Its totient is φ = 366944256.

The previous prime is 1267486237. The next prime is 1267486273. The reversal of 1267486272 is 2726847621.

It is a happy number.

1267486272 is a `hidden beast` number, since 12 + 6 + 7 + 4 + 8 + 627 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1267486273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380229 + ... + 383547.

It is an arithmetic number, because the mean of its divisors is an integer number (18973800).

Almost surely, 2^1267486272 is an apocalyptic number.

1267486272 is a gapful number since it is divisible by the number (12) 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 1267486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125065600).

1267486272 is an abundant number, since it is smaller than the sum of its proper divisors (2982644928).

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

1267486272 is a wasteful number, since it uses less digits than its factorization.

1267486272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3354 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 1267486272 is about 35601.7734389735. The cubic root of 1267486272 is about 1082.2171735593.

The spelling of 1267486272 in words is "one billion, two hundred sixty-seven million, four hundred eighty-six thousand, two hundred seventy-two".