13272336 has 300 divisors, whose sum is σ = 51313680. Its totient is φ = 3265920.

The previous prime is 13272331. The next prime is 13272341. The reversal of 13272336 is 63327231.

13272336 is a `hidden beast` number, since 1 + 327 + 2 + 336 = 666.

It is an interprime number because it is at equal distance from previous prime (13272331) and next prime (13272341).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (4536) is a multiple of the sum of its prime divisors (42).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13272331) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 698535 + ... + 698553.

Almost surely, 2^13272336 is an apocalyptic number.

13272336 is a gapful number since it is divisible by the number (16) 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 13272336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25656840).

13272336 is an abundant number, since it is smaller than the sum of its proper divisors (38041344).

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

13272336 is a wasteful number, since it uses less digits than its factorization.

13272336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 42 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 13272336 is about 3643.1217382898. The cubic root of 13272336 is about 236.7640657976.

13272336 divided by its product of digits (4536) gives a triangular number (2926 = T₇₆).

Adding to 13272336 its reverse (63327231), we get a palindrome (76599567).

It can be divided in two parts, 1327 and 2336, that added together give a palindrome (3663).

The spelling of 13272336 in words is "thirteen million, two hundred seventy-two thousand, three hundred thirty-six".