13270272 has 72 divisors (see below), whose sum is σ = 36350496. Its totient is φ = 4294656.

The previous prime is 13270267. The next prime is 13270277. The reversal of 13270272 is 27207231.

Added to its reverse (27207231) it gives a triangular number (40477503 = T₈₉₉₇).

It is an interprime number because it is at equal distance from previous prime (13270267) and next prime (13270277).

It is a super-2 number, since 2×13270272² = 352200237907968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13270277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28183 + ... + 28649.

It is an arithmetic number, because the mean of its divisors is an integer number (504868).

Almost surely, 2^13270272 is an apocalyptic number.

13270272 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 13270272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18175248).

13270272 is an abundant number, since it is smaller than the sum of its proper divisors (23080224).

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

13270272 is an equidigital number, since it uses as much as digits as its factorization.

13270272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 13270272 is about 3642.8384537336. The cubic root of 13270272 is about 236.7517919882.

Adding to 13270272 its reverse (27207231), we get a triangular number (40477503 = T₈₉₉₇).

The spelling of 13270272 in words is "thirteen million, two hundred seventy thousand, two hundred seventy-two".