73289600 has 96 divisors (see below), whose sum is σ = 186241800. Its totient is φ = 28477440.

The previous prime is 73289599. The next prime is 73289603. The reversal of 73289600 is 698237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73289603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118091 + ... + 118709.

Almost surely, 2^73289600 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 73289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93120900).

73289600 is an abundant number, since it is smaller than the sum of its proper divisors (112952200).

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

73289600 is a wasteful number, since it uses less digits than its factorization.

73289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 73289600 is about 8560.9345284262. The cubic root of 73289600 is about 418.4858555428.

The spelling of 73289600 in words is "seventy-three million, two hundred eighty-nine thousand, six hundred".