72301 has 4 divisors (see below), whose sum is σ = 76572. Its totient is φ = 68032.

The previous prime is 72287. The next prime is 72307. The reversal of 72301 is 10327.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10327 = 23 ⋅449.

It can be written as a sum of positive squares in 2 ways, for example, as 30276 + 42025 = 174^2 + 205^2 .

It is a cyclic number.

It is not a de Polignac number, because 72301 - 2⁵ = 72269 is a prime.

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

It is a Duffinian number.

It is a congruent 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, 2110 + ... + 2143.

It is an arithmetic number, because the mean of its divisors is an integer number (19143).

2⁷²³⁰¹ is an apocalyptic number.

It is an amenable number.

72301 is a deficient number, since it is larger than the sum of its proper divisors (4271).

72301 is a wasteful number, since it uses less digits than its factorization.

72301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 72301 is about 268.8884527086. Note that the first 3 decimals coincide. The cubic root of 72301 is about 41.6595685687.

Adding to 72301 its reverse (10327), we get a palindrome (82628).

It can be divided in two parts, 72 and 301, that added together give a palindrome (373).

The spelling of 72301 in words is "seventy-two thousand, three hundred one", and thus it is an iban number.