1262782872 has 160 divisors (see below), whose sum is σ = 3835893600. Its totient is φ = 388110528.

The previous prime is 1262782811. The next prime is 1262782889. The reversal of 1262782872 is 2782872621.

1262782872 is a `hidden beast` number, since 12 + 627 + 8 + 2 + 8 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1423213 + ... + 1424099.

It is an arithmetic number, because the mean of its divisors is an integer number (23974335).

Almost surely, 2^1262782872 is an apocalyptic number.

1262782872 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 1262782872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917946800).

1262782872 is an abundant number, since it is smaller than the sum of its proper divisors (2573110728).

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

1262782872 is an equidigital number, since it uses as much as digits as its factorization.

1262782872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 905 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 1262782872 is about 35535.6563468300. The cubic root of 1262782872 is about 1080.8768804376.

The spelling of 1262782872 in words is "one billion, two hundred sixty-two million, seven hundred eighty-two thousand, eight hundred seventy-two".