73386 has 24 divisors (see below), whose sum is σ = 165984. Its totient is φ = 24300.

The previous prime is 73379. The next prime is 73387. The reversal of 73386 is 68337.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3024) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (73387) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (6916).

2⁷³³⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82992).

73386 is an abundant number, since it is smaller than the sum of its proper divisors (92598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73386 is a wasteful number, since it uses less digits than its factorization.

73386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 73386 is about 270.8985049793. The cubic root of 73386 is about 41.8669257470.

The spelling of 73386 in words is "seventy-three thousand, three hundred eighty-six".