1272689376 has 192 divisors, whose sum is σ = 3973939200. Its totient is φ = 348986880.

The previous prime is 1272689339. The next prime is 1272689393. The reversal of 1272689376 is 6739862721.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4145415 + ... + 4145721.

It is an arithmetic number, because the mean of its divisors is an integer number (20697600).

Almost surely, 2^1272689376 is an apocalyptic number.

1272689376 is a gapful number since it is divisible by the number (16) 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 1272689376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986969600).

1272689376 is an abundant number, since it is smaller than the sum of its proper divisors (2701249824).

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

1272689376 is a wasteful number, since it uses less digits than its factorization.

1272689376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 549 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 51.

The square root of 1272689376 is about 35674.7722627629. The cubic root of 1272689376 is about 1083.6960064042.

The spelling of 1272689376 in words is "one billion, two hundred seventy-two million, six hundred eighty-nine thousand, three hundred seventy-six".