13390272 has 196 divisors, whose sum is σ = 46640496. Its totient is φ = 3732480.

The previous prime is 13390261. The next prime is 13390283. The reversal of 13390272 is 27209331.

13390272 is a `hidden beast` number, since 1 + 3 + 390 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (13390261) and next prime (13390283).

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326572 + ... + 326612.

Almost surely, 2^13390272 is an apocalyptic number.

13390272 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 13390272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23320248).

13390272 is an abundant number, since it is smaller than the sum of its proper divisors (33250224).

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

13390272 is an frugal number, since it uses more digits than its factorization.

13390272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13390272 is about 3659.2720587570. The cubic root of 13390272 is about 237.4632822277.

The spelling of 13390272 in words is "thirteen million, three hundred ninety thousand, two hundred seventy-two".