73296 has 30 divisors (see below), whose sum is σ = 205530. Its totient is φ = 24384.

The previous prime is 73291. The next prime is 73303. The reversal of 73296 is 69237.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 3600 = 264^2 + 60^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73291) 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 5 ways as a sum of consecutive naturals, for example, 111 + ... + 398.

It is an arithmetic number, because the mean of its divisors is an integer number (6851).

2⁷³²⁹⁶ is an apocalyptic number.

It is an amenable number.

73296 is an abundant number, since it is smaller than the sum of its proper divisors (132234).

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

73296 is a wasteful number, since it uses less digits than its factorization.

73296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 514 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 73296 is about 270.7323401443. The cubic root of 73296 is about 41.8498036587.

It can be divided in two parts, 732 and 96, that added together give a palindrome (828).

The spelling of 73296 in words is "seventy-three thousand, two hundred ninety-six".