72305 has 4 divisors (see below), whose sum is σ = 86772. Its totient is φ = 57840.

The previous prime is 72287. The next prime is 72307. The reversal of 72305 is 50327.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 50327 = 59 ⋅853.

It can be written as a sum of positive squares in 2 ways, for example, as 12769 + 59536 = 113^2 + 244^2 .

It is not a de Polignac number, because 72305 - 2¹² = 68209 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72307) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7226 + ... + 7235.

It is an arithmetic number, because the mean of its divisors is an integer number (21693).

2⁷²³⁰⁵ is an apocalyptic number.

It is an amenable number.

72305 is a deficient number, since it is larger than the sum of its proper divisors (14467).

72305 is a wasteful number, since it uses less digits than its factorization.

72305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14466.

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 72305 is about 268.8958906343. The cubic root of 72305 is about 41.6603368162.

The spelling of 72305 in words is "seventy-two thousand, three hundred five".