13792272 has 120 divisors (see below), whose sum is σ = 41372352. Its totient is φ = 3928320.

The previous prime is 13792267. The next prime is 13792279. The reversal of 13792272 is 27229731.

Its product of digits (10584) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (13792279) 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, 444897 + ... + 444927.

Almost surely, 2^13792272 is an apocalyptic number.

13792272 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 13792272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20686176).

13792272 is an abundant number, since it is smaller than the sum of its proper divisors (27580080).

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

13792272 is a wasteful number, since it uses less digits than its factorization.

13792272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 13792272 is about 3713.7948247042. The cubic root of 13792272 is about 239.8162482385.

The spelling of 13792272 in words is "thirteen million, seven hundred ninety-two thousand, two hundred seventy-two".