1272821760 has 288 divisors, whose sum is σ = 5044122720. Its totient is φ = 290783232.

The previous prime is 1272821747. The next prime is 1272821821. The reversal of 1272821760 is 671282721.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644134 + ... + 646106.

It is an arithmetic number, because the mean of its divisors is an integer number (17514315).

Almost surely, 2^1272821760 is an apocalyptic number.

1272821760 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 1272821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522061360).

1272821760 is an abundant number, since it is smaller than the sum of its proper divisors (3771300960).

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

1272821760 is a wasteful number, since it uses less digits than its factorization.

1272821760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1272821760 is about 35676.6276433185. The cubic root of 1272821760 is about 1083.7335801282.

The spelling of 1272821760 in words is "one billion, two hundred seventy-two million, eight hundred twenty-one thousand, seven hundred sixty".