13162752 has 108 divisors (see below), whose sum is σ = 39459420. Its totient is φ = 4214784.

The previous prime is 13162729. The next prime is 13162757. The reversal of 13162752 is 25726131.

It is a happy number.

13162752 is a `hidden beast` number, since 1 + 31 + 627 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10653696 + 2509056 = 3264^2 + 1584^2 .

It is not an unprimeable number, because it can be changed into a prime (13162757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66718 + ... + 66914.

It is an arithmetic number, because the mean of its divisors is an integer number (365365).

Almost surely, 2^13162752 is an apocalyptic number.

13162752 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 13162752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19729710).

13162752 is an abundant number, since it is smaller than the sum of its proper divisors (26296668).

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

13162752 is a wasteful number, since it uses less digits than its factorization.

13162752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 231 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 13162752 is about 3628.0507162938. The cubic root of 13162752 is about 236.1106442785.

Adding to 13162752 its reverse (25726131), we get a palindrome (38888883).

The spelling of 13162752 in words is "thirteen million, one hundred sixty-two thousand, seven hundred fifty-two".