13705071072 has 288 divisors, whose sum is σ = 45947793024. Its totient is φ = 3536870400.

The previous prime is 13705071071. The next prime is 13705071103. The reversal of 13705071072 is 27017050731.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13705071071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8950947 + ... + 8952477.

It is an arithmetic number, because the mean of its divisors is an integer number (159540948).

Almost surely, 2^13705071072 is an apocalyptic number.

13705071072 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 13705071072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22973896512).

13705071072 is an abundant number, since it is smaller than the sum of its proper divisors (32242721952).

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

13705071072 is a wasteful number, since it uses less digits than its factorization.

13705071072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 33.

The spelling of 13705071072 in words is "thirteen billion, seven hundred five million, seventy-one thousand, seventy-two".