13725288 has 80 divisors (see below), whose sum is σ = 39204000. Its totient is φ = 4485024.

The previous prime is 13725287. The next prime is 13725289. The reversal of 13725288 is 88252731.

13725288 is a `hidden beast` number, since 1 + 372 + 5 + 288 = 666.

13725288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13725287) and next prime (13725289).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13725287) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38053 + ... + 38411.

It is an arithmetic number, because the mean of its divisors is an integer number (490050).

Almost surely, 2^13725288 is an apocalyptic number.

13725288 is a gapful number since it is divisible by the number (18) 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 13725288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19602000).

13725288 is an abundant number, since it is smaller than the sum of its proper divisors (25478712).

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

13725288 is a wasteful number, since it uses less digits than its factorization.

13725288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 423 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 13725288 is about 3704.7655796285. The cubic root of 13725288 is about 239.4273848863.

It can be divided in two parts, 137 and 25288, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 13725288 in words is "thirteen million, seven hundred twenty-five thousand, two hundred eighty-eight".