73041408 has 180 divisors, whose sum is σ = 233477244. Its totient is φ = 21964800.

The previous prime is 73041407. The next prime is 73041559. The reversal of 73041408 is 80414037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73041403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 557503 + ... + 557633.

Almost surely, 2^73041408 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 73041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116738622).

73041408 is an abundant number, since it is smaller than the sum of its proper divisors (160435836).

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

73041408 is a wasteful number, since it uses less digits than its factorization.

73041408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 73041408 is about 8546.4266216940. The cubic root of 73041408 is about 418.0129266547.

The spelling of 73041408 in words is "seventy-three million, forty-one thousand, four hundred eight".