13268772 has 144 divisors (see below), whose sum is σ = 40727232. Its totient is φ = 3732480.

The previous prime is 13268767. The next prime is 13268777. The reversal of 13268772 is 27786231.

13268772 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13268767) and next prime (13268777).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13268777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181728 + ... + 181800.

It is an arithmetic number, because the mean of its divisors is an integer number (282828).

It is a vampire number, since it can be written as 1836 ⋅ 7227 (with its own digits).

Almost surely, 2^13268772 is an apocalyptic number.

13268772 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 13268772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20363616).

13268772 is an abundant number, since it is smaller than the sum of its proper divisors (27458460).

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

13268772 is a wasteful number, since it uses less digits than its factorization.

13268772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 13268772 is about 3642.6325645061. The cubic root of 13268772 is about 236.7428712701.

The spelling of 13268772 in words is "thirteen million, two hundred sixty-eight thousand, seven hundred seventy-two".