13381272 has 48 divisors (see below), whose sum is σ = 37227840. Its totient is φ = 4339008.

The previous prime is 13381271. The next prime is 13381279. The reversal of 13381272 is 27218331.

13381272 is a `hidden beast` number, since 13 + 381 + 272 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13381271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153 + ... + 5175.

It is an arithmetic number, because the mean of its divisors is an integer number (775580).

Almost surely, 2^13381272 is an apocalyptic number.

13381272 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 13381272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18613920).

13381272 is an abundant number, since it is smaller than the sum of its proper divisors (23846568).

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

13381272 is a wasteful number, since it uses less digits than its factorization.

13381272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5065 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13381272 is about 3658.0420992657. The cubic root of 13381272 is about 237.4100682592.

The spelling of 13381272 in words is "thirteen million, three hundred eighty-one thousand, two hundred seventy-two".