72329 has 4 divisors (see below), whose sum is σ = 72960. Its totient is φ = 71700.

The previous prime is 72313. The next prime is 72337. The reversal of 72329 is 92327.

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, and also an emirpimes, since its reverse is a distinct semiprime: 92327 = 17 ⋅5431.

It is a cyclic number.

It is not a de Polignac number, because 72329 - 2⁴ = 72313 is a prime.

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 not an unprimeable number, because it can be changed into a prime (72379) 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, 89 + ... + 390.

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

2⁷²³²⁹ is an apocalyptic number.

It is an amenable number.

72329 is a deficient number, since it is larger than the sum of its proper divisors (631).

72329 is a wasteful number, since it uses less digits than its factorization.

72329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630.

The product of its digits is 756, while the sum is 23.

The square root of 72329 is about 268.9405138688. The cubic root of 72329 is about 41.6649457067.

The spelling of 72329 in words is "seventy-two thousand, three hundred twenty-nine".