1272727664 has 80 divisors (see below), whose sum is σ = 2741074560. Its totient is φ = 568780800.

The previous prime is 1272727649. The next prime is 1272727697. The reversal of 1272727664 is 4667272721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986732 + ... + 988020.

It is an arithmetic number, because the mean of its divisors is an integer number (34263432).

Almost surely, 2^1272727664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1272727664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370537280).

1272727664 is an abundant number, since it is smaller than the sum of its proper divisors (1468346896).

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

1272727664 is a wasteful number, since it uses less digits than its factorization.

1272727664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1452 counting only the distinct ones).

The product of its digits is 395136, while the sum is 44.

The square root of 1272727664 is about 35675.3088844371. The cubic root of 1272727664 is about 1083.7068737160.

The spelling of 1272727664 in words is "one billion, two hundred seventy-two million, seven hundred twenty-seven thousand, six hundred sixty-four".