73380000 has 120 divisors (see below), whose sum is σ = 240897888. Its totient is φ = 19552000.

The previous prime is 73379993. The next prime is 73380001. The reversal of 73380000 is 8337.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (73380001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59389 + ... + 60611.

Almost surely, 2^73380000 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 73380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120448944).

73380000 is an abundant number, since it is smaller than the sum of its proper divisors (167517888).

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

73380000 is a wasteful number, since it uses less digits than its factorization.

73380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 73380000 is about 8566.2126987368. The cubic root of 73380000 is about 418.6578471012.

Adding to 73380000 its reverse (8337), we get a palindrome (73388337).

The spelling of 73380000 in words is "seventy-three million, three hundred eighty thousand".