73360000 has 160 divisors (see below), whose sum is σ = 210307680. Its totient is φ = 24960000.

The previous prime is 73359991. The next prime is 73360051. The reversal of 73360000 is 6337.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 73360000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 559935 + ... + 560065.

It is an arithmetic number, because the mean of its divisors is an integer number (1314423).

Almost surely, 2^73360000 is an apocalyptic number.

73360000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105153840).

73360000 is an abundant number, since it is smaller than the sum of its proper divisors (136947680).

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

73360000 is an equidigital number, since it uses as much as digits as its factorization.

73360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 19.

The square root of 73360000 is about 8565.0452421455. The cubic root of 73360000 is about 418.6198080453.

Adding to 73360000 its reverse (6337), we get a palindrome (73366337).

The spelling of 73360000 in words is "seventy-three million, three hundred sixty thousand".