13597272 has 96 divisors (see below), whose sum is σ = 40404000. Its totient is φ = 4105728.

The previous prime is 13597271. The next prime is 13597273. The reversal of 13597272 is 27279531.

It is an interprime number because it is at equal distance from previous prime (13597271) and next prime (13597273).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13597271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68229 + ... + 68427.

It is an arithmetic number, because the mean of its divisors is an integer number (420875).

Almost surely, 2^13597272 is an apocalyptic number.

13597272 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 13597272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20202000).

13597272 is an abundant number, since it is smaller than the sum of its proper divisors (26806728).

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

13597272 is a wasteful number, since it uses less digits than its factorization.

13597272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 290 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 13597272 is about 3687.4478979370. The cubic root of 13597272 is about 238.6806774057.

The spelling of 13597272 in words is "thirteen million, five hundred ninety-seven thousand, two hundred seventy-two".