13995072 has 224 divisors, whose sum is σ = 51206400. Its totient is φ = 3649536.

The previous prime is 13995067. The next prime is 13995089. The reversal of 13995072 is 27059931.

13995072 = 3³ + 4³ + ... + 86³.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157204 + ... + 157292.

It is an arithmetic number, because the mean of its divisors is an integer number (228600).

Almost surely, 2^13995072 is an apocalyptic number.

13995072 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 13995072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25603200).

13995072 is an abundant number, since it is smaller than the sum of its proper divisors (37211328).

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

13995072 is a wasteful number, since it uses less digits than its factorization.

13995072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 13995072 is about 3740.9987971129. The cubic root of 13995072 is about 240.9859440962.

The spelling of 13995072 in words is "thirteen million, nine hundred ninety-five thousand, seventy-two".