13747272 has 128 divisors (see below), whose sum is σ = 44098560. Its totient is φ = 3467520.

The previous prime is 13747249. The next prime is 13747277. The reversal of 13747272 is 27274731.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13747277) 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, 79378 + ... + 79550.

It is an arithmetic number, because the mean of its divisors is an integer number (344520).

Almost surely, 2^13747272 is an apocalyptic number.

13747272 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 13747272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22049280).

13747272 is an abundant number, since it is smaller than the sum of its proper divisors (30351288).

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

13747272 is a wasteful number, since it uses less digits than its factorization.

13747272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its digits is 16464, while the sum is 33.

The square root of 13747272 is about 3707.7313818560. The cubic root of 13747272 is about 239.5551481769. Note that the first 3 decimals are identical.

It can be divided in two parts, 1374 and 7272, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 13747272 in words is "thirteen million, seven hundred forty-seven thousand, two hundred seventy-two".