1072206963072 has 384 divisors, whose sum is σ = 3579054336000. Its totient is φ = 301775265792.

The previous prime is 1072206963019. The next prime is 1072206963083. The reversal of 1072206963072 is 2703696022701.

1072206963072 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 2 + 0 + 6 + 9 + 630 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1072206963072² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 203105329 + ... + 203110607.

It is an arithmetic number, because the mean of its divisors is an integer number (9320454000).

Almost surely, 2^{1072206963072} is an apocalyptic number.

1072206963072 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 1072206963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789527168000).

1072206963072 is an abundant number, since it is smaller than the sum of its proper divisors (2506847372928).

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

1072206963072 is a wasteful number, since it uses less digits than its factorization.

1072206963072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 1072206963072 in words is "one trillion, seventy-two billion, two hundred six million, nine hundred sixty-three thousand, seventy-two".