13001730672 has 80 divisors (see below), whose sum is σ = 38452038912. Its totient is φ = 3708395520.

The previous prime is 13001730671. The next prime is 13001730691. The reversal of 13001730672 is 27603710031.

13001730672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001730671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 164272 + ... + 230192.

Almost surely, 2^13001730672 is an apocalyptic number.

13001730672 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 13001730672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19226019456).

13001730672 is an abundant number, since it is smaller than the sum of its proper divisors (25450308240).

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

13001730672 is a wasteful number, since it uses less digits than its factorization.

13001730672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66526 (or 66520 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The spelling of 13001730672 in words is "thirteen billion, one million, seven hundred thirty thousand, six hundred seventy-two".