13734402072 has 64 divisors (see below), whose sum is σ = 35518022400. Its totient is φ = 4422314880.

The previous prime is 13734402067. The next prime is 13734402131. The reversal of 13734402072 is 27020443731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67797 + ... + 179067.

It is an arithmetic number, because the mean of its divisors is an integer number (554969100).

Almost surely, 2^13734402072 is an apocalyptic number.

13734402072 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 13734402072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17759011200).

13734402072 is an abundant number, since it is smaller than the sum of its proper divisors (21783620328).

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

13734402072 is a wasteful number, since it uses less digits than its factorization.

13734402072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111456 (or 111452 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The spelling of 13734402072 in words is "thirteen billion, seven hundred thirty-four million, four hundred two thousand, seventy-two".