1272722420736 has 264 divisors, whose sum is σ = 3992713375560. Its totient is φ = 388137222144.

The previous prime is 1272722420713. The next prime is 1272722420743. The reversal of 1272722420736 is 6370242272721.

1272722420736 is a `hidden beast` number, since 1 + 272 + 72 + 242 + 0 + 73 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 259366118400 + 1013356302336 = 509280^2 + 1006656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1272722420691 and 1272722420700.

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, 13491300 + ... + 13585308.

Almost surely, 2^{1272722420736} is an apocalyptic number.

1272722420736 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 1272722420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996356687780).

1272722420736 is an abundant number, since it is smaller than the sum of its proper divisors (2719990954824).

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

1272722420736 is a wasteful number, since it uses less digits than its factorization.

1272722420736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94161 (or 94140 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 1272722420736 in words is "one trillion, two hundred seventy-two billion, seven hundred twenty-two million, four hundred twenty thousand, seven hundred thirty-six".