13102272 has 126 divisors (see below), whose sum is σ = 40172132. Its totient is φ = 4080384.

The previous prime is 13102261. The next prime is 13102277. The reversal of 13102272 is 27220131.

13102272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13102277) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 304683 + ... + 304725.

Almost surely, 2^13102272 is an apocalyptic number.

13102272 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 13102272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20086066).

13102272 is an abundant number, since it is smaller than the sum of its proper divisors (27069860).

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

13102272 is a wasteful number, since it uses less digits than its factorization.

13102272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13102272 is about 3619.7060654147. The cubic root of 13102272 is about 235.7484632063.

The spelling of 13102272 in words is "thirteen million, one hundred two thousand, two hundred seventy-two".