73208000 has 56 divisors (see below), whose sum is σ = 181319424. Its totient is φ = 29280000.

The previous prime is 73207993. The next prime is 73208033. The reversal of 73208000 is 80237.

It is a super-2 number, since 2×73208000² = 10718822528000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3425 + ... + 12575.

Almost surely, 2^73208000 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 73208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90659712).

73208000 is an abundant number, since it is smaller than the sum of its proper divisors (108111424).

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

73208000 is an equidigital number, since it uses as much as digits as its factorization.

73208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9178 (or 9158 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 73208000 is about 8556.1673662920. The cubic root of 73208000 is about 418.3304850346.

Adding to 73208000 its reverse (80237), we get a palindrome (73288237).

The spelling of 73208000 in words is "seventy-three million, two hundred eight thousand".