73630208 has 40 divisors (see below), whose sum is σ = 151895040. Its totient is φ = 35619840.

The previous prime is 73630189. The next prime is 73630211. The reversal of 73630208 is 80203637.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13553 + ... + 18191.

It is an arithmetic number, because the mean of its divisors is an integer number (3797376).

Almost surely, 2^73630208 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 73630208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75947520).

73630208 is an abundant number, since it is smaller than the sum of its proper divisors (78264832).

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

73630208 is an equidigital number, since it uses as much as digits as its factorization.

73630208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 73630208 is about 8580.8046242762. The cubic root of 73630208 is about 419.1331478576.

The spelling of 73630208 in words is "seventy-three million, six hundred thirty thousand, two hundred eight".