13746272 has 48 divisors (see below), whose sum is σ = 29756160. Its totient is φ = 6221952.

The previous prime is 13746263. The next prime is 13746281. The reversal of 13746272 is 27264731.

It is an interprime number because it is at equal distance from previous prime (13746263) and next prime (13746281).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13493 + ... + 14475.

It is an arithmetic number, because the mean of its divisors is an integer number (619920).

Almost surely, 2^13746272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13746272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878080).

13746272 is an abundant number, since it is smaller than the sum of its proper divisors (16009888).

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

13746272 is a wasteful number, since it uses less digits than its factorization.

13746272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1027 counting only the distinct ones).

The product of its digits is 14112, while the sum is 32.

The square root of 13746272 is about 3707.5965260530. The cubic root of 13746272 is about 239.5493394861.

The spelling of 13746272 in words is "thirteen million, seven hundred forty-six thousand, two hundred seventy-two".