1267536672 has 72 divisors (see below), whose sum is σ = 3650250240. Its totient is φ = 417156480.

The previous prime is 1267536637. The next prime is 1267536679. The reversal of 1267536672 is 2766357621.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1267536679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5104 + ... + 50607.

It is an arithmetic number, because the mean of its divisors is an integer number (50697920).

Almost surely, 2^1267536672 is an apocalyptic number.

1267536672 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 1267536672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825125120).

1267536672 is an abundant number, since it is smaller than the sum of its proper divisors (2382713568).

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

1267536672 is a wasteful number, since it uses less digits than its factorization.

1267536672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55806 (or 55795 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 1267536672 is about 35602.4812618447. The cubic root of 1267536672 is about 1082.2315177049.

The spelling of 1267536672 in words is "one billion, two hundred sixty-seven million, five hundred thirty-six thousand, six hundred seventy-two".