13222872 has 128 divisors (see below), whose sum is σ = 42033600. Its totient is φ = 3815424.

The previous prime is 13222871. The next prime is 13222873. The reversal of 13222872 is 27822231.

It is a happy number.

13222872 is digitally balanced in base 2, because in such base 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 (13222871) and next prime (13222873).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47598 + ... + 47874.

Almost surely, 2^13222872 is an apocalyptic number.

13222872 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 13222872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21016800).

13222872 is an abundant number, since it is smaller than the sum of its proper divisors (28810728).

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

13222872 is a wasteful number, since it uses less digits than its factorization.

13222872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

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

The square root of 13222872 is about 3636.3267179944. The cubic root of 13222872 is about 236.4695716282.

The spelling of 13222872 in words is "thirteen million, two hundred twenty-two thousand, eight hundred seventy-two".