73461728 has 24 divisors (see below), whose sum is σ = 144861192. Its totient is φ = 36671616.

The previous prime is 73461721. The next prime is 73461767. The reversal of 73461728 is 82716437.

It is a junction number, because it is equal to n+sod(n) for n = 73461691 and 73461700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73461721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23726 + ... + 26642.

It is an arithmetic number, because the mean of its divisors is an integer number (6035883).

Almost surely, 2^73461728 is an apocalyptic number.

It is an amenable number.

73461728 is a deficient number, since it is larger than the sum of its proper divisors (71399464).

73461728 is a wasteful number, since it uses less digits than its factorization.

73461728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714 (or 3706 counting only the distinct ones).

The product of its digits is 56448, while the sum is 38.

The square root of 73461728 is about 8570.9817407343. The cubic root of 73461728 is about 418.8132181084.

The spelling of 73461728 in words is "seventy-three million, four hundred sixty-one thousand, seven hundred twenty-eight".