73064800 has 36 divisors (see below), whose sum is σ = 178371396. Its totient is φ = 29225600.

The previous prime is 73064741. The next prime is 73064821. The reversal of 73064800 is 846037.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44866 + ... + 46465.

It is an arithmetic number, because the mean of its divisors is an integer number (4954761).

Almost surely, 2^73064800 is an apocalyptic number.

It is an amenable number.

73064800 is an abundant number, since it is smaller than the sum of its proper divisors (105306596).

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

73064800 is a wasteful number, since it uses less digits than its factorization.

73064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91351 (or 91338 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 73064800 is about 8547.7950373181. The cubic root of 73064800 is about 418.0575457048.

The spelling of 73064800 in words is "seventy-three million, sixty-four thousand, eight hundred".