1272742744 has 64 divisors (see below), whose sum is σ = 2964729600. Its totient is φ = 498766464.

The previous prime is 1272742733. The next prime is 1272742747. The reversal of 1272742744 is 4472472721.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1272742697 and 1272742706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272742747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69727 + ... + 86065.

It is an arithmetic number, because the mean of its divisors is an integer number (46323900).

Almost surely, 2^1272742744 is an apocalyptic number.

1272742744 is a gapful number since it is divisible by the number (14) 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 1272742744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482364800).

1272742744 is an abundant number, since it is smaller than the sum of its proper divisors (1691986856).

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

1272742744 is a wasteful number, since it uses less digits than its factorization.

1272742744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16472 (or 16468 counting only the distinct ones).

The product of its digits is 175616, while the sum is 40.

The square root of 1272742744 is about 35675.5202344689. The cubic root of 1272742744 is about 1083.7111538238.

The spelling of 1272742744 in words is "one billion, two hundred seventy-two million, seven hundred forty-two thousand, seven hundred forty-four".