73128832 has 64 divisors (see below), whose sum is σ = 176329440. Its totient is φ = 29491200.

The previous prime is 73128779. The next prime is 73128833. The reversal of 73128832 is 23882137.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73128833) 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 7 ways as a sum of consecutive naturals, for example, 12832 + ... + 17632.

Almost surely, 2^73128832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88164720).

73128832 is an abundant number, since it is smaller than the sum of its proper divisors (103200608).

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

73128832 is a wasteful number, since it uses less digits than its factorization.

73128832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4827 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 73128832 is about 8551.5397443969. The cubic root of 73128832 is about 418.1796347941.

The spelling of 73128832 in words is "seventy-three million, one hundred twenty-eight thousand, eight hundred thirty-two".