13536072 has 112 divisors (see below), whose sum is σ = 41708880. Its totient is φ = 4082400.

The previous prime is 13536071. The next prime is 13536073. The reversal of 13536072 is 27063531.

It is a happy number.

13536072 is a `hidden beast` number, since 1 + 3 + 53 + 607 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13536071) and next prime (13536073).

It is a super-3 number, since 3×13536072³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13536071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 64047 + ... + 64257.

Almost surely, 2^13536072 is an apocalyptic number.

13536072 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 13536072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20854440).

13536072 is an abundant number, since it is smaller than the sum of its proper divisors (28172808).

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

13536072 is a wasteful number, since it uses less digits than its factorization.

13536072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 13536072 is about 3679.1401169295. The cubic root of 13536072 is about 238.3220459660.

The spelling of 13536072 in words is "thirteen million, five hundred thirty-six thousand, seventy-two".