73908408 has 64 divisors (see below), whose sum is σ = 212002560. Its totient is φ = 21033216.

The previous prime is 73908403. The next prime is 73908413. The reversal of 73908408 is 80480937.

It is a Cunningham number, because it is equal to 8597²-1.

It is an interprime number because it is at equal distance from previous prime (73908403) and next prime (73908413).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73908403) 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, 50860 + ... + 52292.

It is an arithmetic number, because the mean of its divisors is an integer number (3312540).

Almost surely, 2^73908408 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 73908408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106001280).

73908408 is an abundant number, since it is smaller than the sum of its proper divisors (138094152).

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

73908408 is a wasteful number, since it uses less digits than its factorization.

73908408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 73908408 is about 8596.9999418402. Note that the first 4 decimals coincide. The cubic root of 73908408 is about 419.6603603397.

The spelling of 73908408 in words is "seventy-three million, nine hundred eight thousand, four hundred eight".