73224000 has 280 divisors, whose sum is σ = 273286728. Its totient is φ = 19353600.

The previous prime is 73223993. The next prime is 73224013. The reversal of 73224000 is 42237.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19289664 + 53934336 = 4392^2 + 7344^2 .

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

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 647944 + ... + 648056.

Almost surely, 2^73224000 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 73224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136643364).

73224000 is an abundant number, since it is smaller than the sum of its proper divisors (200062728).

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

73224000 is a wasteful number, since it uses less digits than its factorization.

73224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 73224000 is about 8557.1023132834. The cubic root of 73224000 is about 418.3609589364.

Adding to 73224000 its reverse (42237), we get a palindrome (73266237).

The spelling of 73224000 in words is "seventy-three million, two hundred twenty-four thousand".