72505 has 8 divisors (see below), whose sum is σ = 92232. Its totient is φ = 54528.

The previous prime is 72503. The next prime is 72533. The reversal of 72505 is 50527.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2809 + 69696 = 53^2 + 264^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72505 - 2¹ = 72503 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72503) 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, 342 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (11529).

2⁷²⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

72505 is a deficient number, since it is larger than the sum of its proper divisors (19727).

72505 is a wasteful number, since it uses less digits than its factorization.

72505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875.

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 72505 is about 269.2675249636. The cubic root of 72505 is about 41.6987131240.

The spelling of 72505 in words is "seventy-two thousand, five hundred five".