1272038640 has 80 divisors (see below), whose sum is σ = 3947143200. Its totient is φ = 338881536.

The previous prime is 1272038591. The next prime is 1272038659. The reversal of 1272038640 is 468302721.

1272038640 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341106 + ... + 344814.

It is an arithmetic number, because the mean of its divisors is an integer number (49339290).

Almost surely, 2^1272038640 is an apocalyptic number.

1272038640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1272038640 is an abundant number, since it is smaller than the sum of its proper divisors (2675104560).

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

1272038640 is a wasteful number, since it uses less digits than its factorization.

1272038640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1272038640 is about 35665.6507020410. The cubic root of 1272038640 is about 1083.5112741767.

It can be divided in two parts, 12720 and 38640, that added together give a triangular number (51360 = T₃₂₀).

The spelling of 1272038640 in words is "one billion, two hundred seventy-two million, thirty-eight thousand, six hundred forty".