73413208 has 64 divisors (see below), whose sum is σ = 164229120. Its totient is φ = 30374400.

The previous prime is 73413167. The next prime is 73413209. The reversal of 73413208 is 80231437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73413209) 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, 45585 + ... + 47167.

It is an arithmetic number, because the mean of its divisors is an integer number (2566080).

Almost surely, 2^73413208 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 73413208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82114560).

73413208 is an abundant number, since it is smaller than the sum of its proper divisors (90815912).

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

73413208 is a wasteful number, since it uses less digits than its factorization.

73413208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 73413208 is about 8568.1507923239. The cubic root of 73413208 is about 418.7209918868.

The spelling of 73413208 in words is "seventy-three million, four hundred thirteen thousand, two hundred eight".