13330272 has 48 divisors (see below), whose sum is σ = 35223552. Its totient is φ = 4414080.

The previous prime is 13330259. The next prime is 13330277. The reversal of 13330272 is 27203331.

13330272 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17973 + ... + 18699.

It is an arithmetic number, because the mean of its divisors is an integer number (733824).

Almost surely, 2^13330272 is an apocalyptic number.

13330272 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 13330272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611776).

13330272 is an abundant number, since it is smaller than the sum of its proper divisors (21893280).

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

13330272 is a wasteful number, since it uses less digits than its factorization.

13330272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 13330272 is about 3651.0645023061. The cubic root of 13330272 is about 237.1080708502.

The spelling of 13330272 in words is "thirteen million, three hundred thirty thousand, two hundred seventy-two".