72389 has 4 divisors (see below), whose sum is σ = 72960. Its totient is φ = 71820.

The previous prime is 72383. The next prime is 72421. The reversal of 72389 is 98327.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72389 is a prime.

It is a d-powerful number, because it can be written as 7² + 2¹⁵ + 3⁵ + 8⁵ + 9⁴ .

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 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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2 + ... + 380.

It is an arithmetic number, because the mean of its divisors is an integer number (18240).

2⁷²³⁸⁹ is an apocalyptic number.

It is an amenable number.

72389 is a deficient number, since it is larger than the sum of its proper divisors (571).

72389 is a wasteful number, since it uses less digits than its factorization.

72389 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570.

The product of its digits is 3024, while the sum is 29.

The square root of 72389 is about 269.0520395760. The cubic root of 72389 is about 41.6764634741.

The spelling of 72389 in words is "seventy-two thousand, three hundred eighty-nine".