13272480 has 144 divisors (see below), whose sum is σ = 48845160. Its totient is φ = 3262464.

The previous prime is 13272451. The next prime is 13272487. The reversal of 13272480 is 8427231.

It can be written as a sum of positive squares in 4 ways, for example, as 5588496 + 7683984 = 2364^2 + 2772^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (13272487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18366 + ... + 19074.

Almost surely, 2^13272480 is an apocalyptic number.

13272480 is a gapful number since it is divisible by the number (10) 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 13272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24422580).

13272480 is an abundant number, since it is smaller than the sum of its proper divisors (35572680).

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

13272480 is a wasteful number, since it uses less digits than its factorization.

13272480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13272480 is about 3643.1415015066. The cubic root of 13272480 is about 236.7649220624.

It can be divided in two parts, 1 and 3272480, that added together give a square (3272481 = 1809²).

The spelling of 13272480 in words is "thirteen million, two hundred seventy-two thousand, four hundred eighty".