73649728 has 14 divisors (see below), whose sum is σ = 146148806. Its totient is φ = 36824832.

The previous prime is 73649717. The next prime is 73649809. The reversal of 73649728 is 82794637.

It can be written as a sum of positive squares in only one way, i.e., 60341824 + 13307904 = 7768^2 + 3648^2 .

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 as a sum of consecutive naturals, namely, 575325 + ... + 575452.

Almost surely, 2^73649728 is an apocalyptic number.

It is an amenable number.

73649728 is a deficient number, since it is larger than the sum of its proper divisors (72499078).

73649728 is a wasteful number, since it uses less digits than its factorization.

73649728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150789 (or 1150779 counting only the distinct ones).

The product of its digits is 508032, while the sum is 46.

The square root of 73649728 is about 8581.9419713722. The cubic root of 73649728 is about 419.1701831831.

The spelling of 73649728 in words is "seventy-three million, six hundred forty-nine thousand, seven hundred twenty-eight".