1272171760 has 80 divisors (see below), whose sum is σ = 3026413440. Its totient is φ = 497203200.

The previous prime is 1272171751. The next prime is 1272171799. The reversal of 1272171760 is 671712721.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637324 + ... + 639316.

It is an arithmetic number, because the mean of its divisors is an integer number (37830168).

Almost surely, 2^1272171760 is an apocalyptic number.

1272171760 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 1272171760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513206720).

1272171760 is an abundant number, since it is smaller than the sum of its proper divisors (1754241680).

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

1272171760 is a wasteful number, since it uses less digits than its factorization.

1272171760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 34.

The square root of 1272171760 is about 35667.5168746017. The cubic root of 1272171760 is about 1083.5490696716.

The spelling of 1272171760 in words is "one billion, two hundred seventy-two million, one hundred seventy-one thousand, seven hundred sixty".