73297008 has 80 divisors (see below), whose sum is σ = 211415040. Its totient is φ = 24313536.

The previous prime is 73297001. The next prime is 73297009. The reversal of 73297008 is 80079237.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73297001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165235 + ... + 165677.

It is an arithmetic number, because the mean of its divisors is an integer number (2642688).

Almost surely, 2^73297008 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 73297008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105707520).

73297008 is an abundant number, since it is smaller than the sum of its proper divisors (138118032).

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

73297008 is a wasteful number, since it uses less digits than its factorization.

73297008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 73297008 is about 8561.3671805384. The cubic root of 73297008 is about 418.4999550365.

The spelling of 73297008 in words is "seventy-three million, two hundred ninety-seven thousand, eight".