73121808 has 80 divisors (see below), whose sum is σ = 196860416. Its totient is φ = 23362560.

The previous prime is 73121791. The next prime is 73121809. The reversal of 73121808 is 80812137.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (73121809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233460 + ... + 233772.

Almost surely, 2^73121808 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 73121808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98430208).

73121808 is an abundant number, since it is smaller than the sum of its proper divisors (123738608).

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

73121808 is a wasteful number, since it uses less digits than its factorization.

73121808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 73121808 is about 8551.1290482602. The cubic root of 73121808 is about 418.1662456938.

The spelling of 73121808 in words is "seventy-three million, one hundred twenty-one thousand, eight hundred eight".