13752280 has 32 divisors (see below), whose sum is σ = 31298400. Its totient is φ = 5437696.

The previous prime is 13752259. The next prime is 13752287. The reversal of 13752280 is 8225731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13752287) 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, 1629 + ... + 5491.

It is an arithmetic number, because the mean of its divisors is an integer number (978075).

Almost surely, 2^13752280 is an apocalyptic number.

13752280 is a gapful number since it is divisible by the number (10) 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 13752280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15649200).

13752280 is an abundant number, since it is smaller than the sum of its proper divisors (17546120).

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

13752280 is a wasteful number, since it uses less digits than its factorization.

13752280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 13752280 is about 3708.4066659416. The cubic root of 13752280 is about 239.5842338634.

It can be divided in two parts, 1375 and 2280, that added together give a triangular number (3655 = T₈₅).

The spelling of 13752280 in words is "thirteen million, seven hundred fifty-two thousand, two hundred eighty".