72135 has 24 divisors (see below), whose sum is σ = 143520. Its totient is φ = 32832.

The previous prime is 72109. The next prime is 72139. The reversal of 72135 is 53127.

It is not a de Polignac number, because 72135 - 2⁵ = 72103 is a prime.

72135 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (5980).

2⁷²¹³⁵ is an apocalyptic number.

72135 is a deficient number, since it is larger than the sum of its proper divisors (71385).

72135 is a wasteful number, since it uses less digits than its factorization.

72135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 244 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 72135 is about 268.5795971402. The cubic root of 72135 is about 41.6276612751.

The spelling of 72135 in words is "seventy-two thousand, one hundred thirty-five".