2729786118072 has 128 divisors (see below), whose sum is σ = 7608249600000. Its totient is φ = 810509483520.

The previous prime is 2729786118071. The next prime is 2729786118079. The reversal of 2729786118072 is 2708116879272.

It is a junction number, because it is equal to n+sod(n) for n = 2729786117997 and 2729786118015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729786118071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2971179 + ... + 3779877.

It is an arithmetic number, because the mean of its divisors is an integer number (59439450000).

Almost surely, 2^{2729786118072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2729786118072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804124800000).

2729786118072 is an abundant number, since it is smaller than the sum of its proper divisors (4878463481928).

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

2729786118072 is a wasteful number, since it uses less digits than its factorization.

2729786118072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809101 (or 809097 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 60.

The spelling of 2729786118072 in words is "two trillion, seven hundred twenty-nine billion, seven hundred eighty-six million, one hundred eighteen thousand, seventy-two".