73303216000 has 768 divisors, whose sum is σ = 230373936000. Its totient is φ = 23166259200.

The previous prime is 73303215989. The next prime is 73303216009. The reversal of 73303216000 is 61230337.

It is a super-2 number, since 2×73303216000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73303216009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1981167982 + ... + 1981168018.

Almost surely, 2^73303216000 is an apocalyptic number.

73303216000 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 73303216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115186968000).

73303216000 is an abundant number, since it is smaller than the sum of its proper divisors (157070720000).

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

73303216000 is an equidigital number, since it uses as much as digits as its factorization.

73303216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 25.

Adding to 73303216000 its reverse (61230337), we get a palindrome (73364446337).

The spelling of 73303216000 in words is "seventy-three billion, three hundred three million, two hundred sixteen thousand".