72265 has 8 divisors (see below), whose sum is σ = 88200. Its totient is φ = 56832.

The previous prime is 72253. The next prime is 72269. The reversal of 72265 is 56227.

It can be written as a sum of positive squares in 4 ways, for example, as 441 + 71824 = 21^2 + 268^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72265 is a prime.

72265 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (72269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411 + ... + 559.

It is an arithmetic number, because the mean of its divisors is an integer number (11025).

2⁷²²⁶⁵ is an apocalyptic number.

It is an amenable number.

72265 is a deficient number, since it is larger than the sum of its proper divisors (15935).

72265 is a wasteful number, since it uses less digits than its factorization.

72265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251.

The product of its digits is 840, while the sum is 22.

The square root of 72265 is about 268.8215021162. The cubic root of 72265 is about 41.6526530652.

It can be divided in two parts, 722 and 65, that added together give a palindrome (787).

The spelling of 72265 in words is "seventy-two thousand, two hundred sixty-five".