73668208 has 40 divisors (see below), whose sum is σ = 151999200. Its totient is φ = 34467840.

The previous prime is 73668181. The next prime is 73668239. The reversal of 73668208 is 80286637.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 53448 + ... + 54808.

It is an arithmetic number, because the mean of its divisors is an integer number (3799980).

Almost surely, 2^73668208 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 73668208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75999600).

73668208 is an abundant number, since it is smaller than the sum of its proper divisors (78330992).

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

73668208 is a wasteful number, since it uses less digits than its factorization.

73668208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 73668208 is about 8583.0185832258. The cubic root of 73668208 is about 419.2052392854.

The spelling of 73668208 in words is "seventy-three million, six hundred sixty-eight thousand, two hundred eight".