72386 has 8 divisors (see below), whose sum is σ = 115020. Its totient is φ = 34048.

The previous prime is 72383. The next prime is 72421. The reversal of 72386 is 68327.

It can be written as a sum of positive squares in 2 ways, for example, as 72361 + 25 = 269^2 + 5^2 .

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

It is a Curzon number.

It is a plaindrome in base 15.

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 3 ways as a sum of consecutive naturals, for example, 1031 + ... + 1098.

2⁷²³⁸⁶ is an apocalyptic number.

72386 is a deficient number, since it is larger than the sum of its proper divisors (42634).

72386 is a wasteful number, since it uses less digits than its factorization.

72386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148.

The product of its digits is 2016, while the sum is 26.

The square root of 72386 is about 269.0464643886. The cubic root of 72386 is about 41.6758877370.

The spelling of 72386 in words is "seventy-two thousand, three hundred eighty-six".