13735072 has 48 divisors (see below), whose sum is σ = 29455272. Its totient is φ = 6266880.

The previous prime is 13735069. The next prime is 13735079. The reversal of 13735072 is 27053731.

It can be written as a sum of positive squares in 4 ways, for example, as 11532816 + 2202256 = 3396^2 + 1484^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13735072.

It is not an unprimeable number, because it can be changed into a prime (13735079) 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, 56872 + ... + 57112.

Almost surely, 2^13735072 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 13735072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14727636).

13735072 is an abundant number, since it is smaller than the sum of its proper divisors (15720200).

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

13735072 is a wasteful number, since it uses less digits than its factorization.

13735072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 13735072 is about 3706.0858058064. The cubic root of 13735072 is about 239.4842628944.

It can be divided in two parts, 137 and 35072, that multiplied together give a square (4804864 = 2192²).

The spelling of 13735072 in words is "thirteen million, seven hundred thirty-five thousand, seventy-two".