72385 has 8 divisors (see below), whose sum is σ = 89856. Its totient is φ = 55920.

The previous prime is 72383. The next prime is 72421. The reversal of 72385 is 58327.

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

It is not a de Polignac number, because 72385 - 2¹ = 72383 is a prime.

It is a d-powerful number, because it can be written as 7⁵ + 2 + 3⁹ + 8⁵ + 5⁵ .

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

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72383) 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, 79 + ... + 388.

It is an arithmetic number, because the mean of its divisors is an integer number (11232).

2⁷²³⁸⁵ is an apocalyptic number.

It is an amenable number.

72385 is a deficient number, since it is larger than the sum of its proper divisors (17471).

72385 is a wasteful number, since it uses less digits than its factorization.

72385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503.

The product of its digits is 1680, while the sum is 25.

The square root of 72385 is about 269.0446059671. The cubic root of 72385 is about 41.6756958210.

It can be divided in two parts, 723 and 85, that added together give a palindrome (808).

The spelling of 72385 in words is "seventy-two thousand, three hundred eighty-five".