1072772105776 has 160 divisors (see below), whose sum is σ = 2455614259200. Its totient is φ = 444540545280.

The previous prime is 1072772105771. The next prime is 1072772105803. The reversal of 1072772105776 is 6775012772701.

It is not an unprimeable number, because it can be changed into a prime (1072772105771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141466881 + ... + 141474463.

It is an arithmetic number, because the mean of its divisors is an integer number (15347589120).

Almost surely, 2^{1072772105776} is an apocalyptic number.

1072772105776 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 1072772105776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227807129600).

1072772105776 is an abundant number, since it is smaller than the sum of its proper divisors (1382842153424).

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

1072772105776 is a wasteful number, since it uses less digits than its factorization.

1072772105776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007 (or 8001 counting only the distinct ones).

The product of its (nonzero) digits is 2016840, while the sum is 52.

The spelling of 1072772105776 in words is "one trillion, seventy-two billion, seven hundred seventy-two million, one hundred five thousand, seven hundred seventy-six".