1272027456 has 336 divisors, whose sum is σ = 4426793280. Its totient is φ = 357073920.

The previous prime is 1272027451. The next prime is 1272027461. The reversal of 1272027456 is 6547202721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1272027451) and next prime (1272027461).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1272027456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272027451) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7027686 + ... + 7027866.

It is an arithmetic number, because the mean of its divisors is an integer number (13174980).

Almost surely, 2^1272027456 is an apocalyptic number.

1272027456 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 1272027456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213396640).

1272027456 is an abundant number, since it is smaller than the sum of its proper divisors (3154765824).

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

1272027456 is a wasteful number, since it uses less digits than its factorization.

1272027456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 1272027456 is about 35665.4939121835. The cubic root of 1272027456 is about 1083.5080986900.

The spelling of 1272027456 in words is "one billion, two hundred seventy-two million, twenty-seven thousand, four hundred fifty-six".