73385440 has 96 divisors (see below), whose sum is σ = 180363456. Its totient is φ = 28200960.

The previous prime is 73385437. The next prime is 73385441. The reversal of 73385440 is 4458337.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 73385396 and 73385405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73385441) 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, 712429 + ... + 712531.

It is an arithmetic number, because the mean of its divisors is an integer number (1878786).

Almost surely, 2^73385440 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 73385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90181728).

73385440 is an abundant number, since it is smaller than the sum of its proper divisors (106978016).

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

73385440 is a wasteful number, since it uses less digits than its factorization.

73385440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 73385440 is about 8566.5302194062. The cubic root of 73385440 is about 418.6681925287.

The spelling of 73385440 in words is "seventy-three million, three hundred eighty-five thousand, four hundred forty".