13252272 has 80 divisors (see below), whose sum is σ = 39342720. Its totient is φ = 3801600.

The previous prime is 13252259. The next prime is 13252273. The reversal of 13252272 is 27225231.

Added to its reverse (27225231) it gives a triangular number (40477503 = T₈₉₉₇).

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13252273) 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 15 ways as a sum of consecutive naturals, for example, 9372 + ... + 10692.

It is an arithmetic number, because the mean of its divisors is an integer number (491784).

Almost surely, 2^13252272 is an apocalyptic number.

13252272 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 13252272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19671360).

13252272 is an abundant number, since it is smaller than the sum of its proper divisors (26090448).

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

13252272 is a wasteful number, since it uses less digits than its factorization.

13252272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1356 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 13252272 is about 3640.3670144643. The cubic root of 13252272 is about 236.6446989683.

Adding to 13252272 its reverse (27225231), we get a triangular number (40477503 = T₈₉₉₇).

The spelling of 13252272 in words is "thirteen million, two hundred fifty-two thousand, two hundred seventy-two".