1362713722272 has 576 divisors, whose sum is σ = 4628940825600. Its totient is φ = 380007936000.

The previous prime is 1362713722247. The next prime is 1362713722379. The reversal of 1362713722272 is 2722273172631.

1362713722272 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 7 + 1 + 372 + 2 + 272 = 666.

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 728333497 + ... + 728335367.

It is an arithmetic number, because the mean of its divisors is an integer number (8036355600).

Almost surely, 2^{1362713722272} is an apocalyptic number.

1362713722272 is a gapful number since it is divisible by the number (12) 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 1362713722272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314470412800).

1362713722272 is an abundant number, since it is smaller than the sum of its proper divisors (3266227103328).

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

1362713722272 is a wasteful number, since it uses less digits than its factorization.

1362713722272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2057 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The spelling of 1362713722272 in words is "one trillion, three hundred sixty-two billion, seven hundred thirteen million, seven hundred twenty-two thousand, two hundred seventy-two".