13736072 has 48 divisors (see below), whose sum is σ = 30465360. Its totient is φ = 5787936.

The previous prime is 13736057. The next prime is 13736081. The reversal of 13736072 is 27063731.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26003 + ... + 26525.

It is an arithmetic number, because the mean of its divisors is an integer number (634695).

Almost surely, 2^13736072 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 13736072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15232680).

13736072 is an abundant number, since it is smaller than the sum of its proper divisors (16729288).

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

13736072 is a wasteful number, since it uses less digits than its factorization.

13736072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 29.

The square root of 13736072 is about 3706.2207165791. The cubic root of 13736072 is about 239.4900747424.

The spelling of 13736072 in words is "thirteen million, seven hundred thirty-six thousand, seventy-two".