73732128 has 48 divisors (see below), whose sum is σ = 204936480. Its totient is φ = 23131136.

The previous prime is 73732091. The next prime is 73732129. The reversal of 73732128 is 82123737.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (73732129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20958 + ... + 24221.

It is an arithmetic number, because the mean of its divisors is an integer number (4269510).

Almost surely, 2^73732128 is an apocalyptic number.

It is an amenable number.

73732128 is an abundant number, since it is smaller than the sum of its proper divisors (131204352).

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

73732128 is a wasteful number, since it uses less digits than its factorization.

73732128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45209 (or 45201 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 73732128 is about 8586.7414075422. The cubic root of 73732128 is about 419.3264487524.

The spelling of 73732128 in words is "seventy-three million, seven hundred thirty-two thousand, one hundred twenty-eight".