73233120 has 96 divisors (see below), whose sum is σ = 238684320. Its totient is φ = 18851840.

The previous prime is 73233073. The next prime is 73233137. The reversal of 73233120 is 2133237.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11290 + ... + 16550.

It is an arithmetic number, because the mean of its divisors is an integer number (2486295).

Almost surely, 2^73233120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119342160).

73233120 is an abundant number, since it is smaller than the sum of its proper divisors (165451200).

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

73233120 is a wasteful number, since it uses less digits than its factorization.

73233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 5300 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 73233120 is about 8557.6351873634. The cubic root of 73233120 is about 418.3783270741.

Adding to 73233120 its reverse (2133237), we get a palindrome (75366357).

The spelling of 73233120 in words is "seventy-three million, two hundred thirty-three thousand, one hundred twenty".