1272752640 has 240 divisors, whose sum is σ = 4530064968. Its totient is φ = 330006528.

The previous prime is 1272752629. The next prime is 1272752641. The reversal of 1272752640 is 462572721.

It is a happy number.

1272752640 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 7 + 5 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1271920896 + 831744 = 35664^2 + 912^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 1272752595 and 1272752604.

It is not an unprimeable number, because it can be changed into a prime (1272752641) 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 23 ways as a sum of consecutive naturals, for example, 851734 + ... + 853226.

Almost surely, 2^1272752640 is an apocalyptic number.

1272752640 is a gapful number since it is divisible by the number (10) 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 1272752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265032484).

1272752640 is an abundant number, since it is smaller than the sum of its proper divisors (3257312328).

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

1272752640 is a wasteful number, since it uses less digits than its factorization.

1272752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1540 counting only the distinct ones).

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

The square root of 1272752640 is about 35675.6589287430. The cubic root of 1272752640 is about 1083.7139625553.

The spelling of 1272752640 in words is "one billion, two hundred seventy-two million, seven hundred fifty-two thousand, six hundred forty".