1297735872 has 112 divisors (see below), whose sum is σ = 3698808960. Its totient is φ = 400232448.

The previous prime is 1297735867. The next prime is 1297735883. The reversal of 1297735872 is 2785377921.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152728 + ... + 161000.

It is an arithmetic number, because the mean of its divisors is an integer number (33025080).

Almost surely, 2^1297735872 is an apocalyptic number.

1297735872 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 1297735872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849404480).

1297735872 is an abundant number, since it is smaller than the sum of its proper divisors (2401073088).

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

1297735872 is a wasteful number, since it uses less digits than its factorization.

1297735872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8350 (or 8340 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The square root of 1297735872 is about 36024.1012656805. The cubic root of 1297735872 is about 1090.7589114882.

The spelling of 1297735872 in words is "one billion, two hundred ninety-seven million, seven hundred thirty-five thousand, eight hundred seventy-two".