13272048 has 120 divisors (see below), whose sum is σ = 39693888. Its totient is φ = 4133376.

The previous prime is 13272029. The next prime is 13272067. The reversal of 13272048 is 84027231.

It is an interprime number because it is at equal distance from previous prime (13272029) and next prime (13272067).

It is a super-2 number, since 2×13272048² = 352294516228608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 250390 + ... + 250442.

Almost surely, 2^13272048 is an apocalyptic number.

13272048 is a gapful number since it is divisible by the number (18) 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 13272048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19846944).

13272048 is an abundant number, since it is smaller than the sum of its proper divisors (26421840).

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

13272048 is a wasteful number, since it uses less digits than its factorization.

13272048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

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

The square root of 13272048 is about 3643.0822115346. The cubic root of 13272048 is about 236.7623532494.

Adding to 13272048 its reverse (84027231), we get a palindrome (97299279).

It can be divided in two parts, 1327 and 2048, that added together give a cube (3375 = 15³).

The spelling of 13272048 in words is "thirteen million, two hundred seventy-two thousand, forty-eight".