73233000 has 192 divisors, whose sum is σ = 253094400. Its totient is φ = 19094400.

The previous prime is 73232987. The next prime is 73233019. The reversal of 73233000 is 33237.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 710949 + ... + 711051.

It is an arithmetic number, because the mean of its divisors is an integer number (1318200).

Almost surely, 2^73233000 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 73233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126547200).

73233000 is an abundant number, since it is smaller than the sum of its proper divisors (179861400).

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

73233000 is a wasteful number, since it uses less digits than its factorization.

73233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 18.

The square root of 73233000 is about 8557.6281760778. The cubic root of 73233000 is about 418.3780985554.

Adding to 73233000 its reverse (33237), we get a palindrome (73266237).

The spelling of 73233000 in words is "seventy-three million, two hundred thirty-three thousand".