73989600 has 72 divisors (see below), whose sum is σ = 240843960. Its totient is φ = 19729920.

The previous prime is 73989581. The next prime is 73989607. The reversal of 73989600 is 698937.

73989600 = 30² + 31² + ... + 605².

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73989607) 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, 13015 + ... + 17814.

It is an arithmetic number, because the mean of its divisors is an integer number (3345055).

Almost surely, 2^73989600 is an apocalyptic number.

It is an amenable number.

73989600 is an abundant number, since it is smaller than the sum of its proper divisors (166854360).

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

73989600 is a wasteful number, since it uses less digits than its factorization.

73989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30852 (or 30839 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 73989600 is about 8601.7207580809. The cubic root of 73989600 is about 419.8139765769.

The spelling of 73989600 in words is "seventy-three million, nine hundred eighty-nine thousand, six hundred".