73128132 has 288 divisors, whose sum is σ = 254951424. Its totient is φ = 17107200.

The previous prime is 73128113. The next prime is 73128137. The reversal of 73128132 is 23182137.

73128132 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

73128132 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 73128096 and 73128105.

It is not an unprimeable number, because it can be changed into a prime (73128137) 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 95 ways as a sum of consecutive naturals, for example, 1976418 + ... + 1976454.

It is an arithmetic number, because the mean of its divisors is an integer number (885248).

Almost surely, 2^73128132 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 73128132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127475712).

73128132 is an abundant number, since it is smaller than the sum of its proper divisors (181823292).

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

73128132 is a wasteful number, since it uses less digits than its factorization.

73128132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 114 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 73128132 is about 8551.4988159971. The cubic root of 73128132 is about 418.1783004974.

The spelling of 73128132 in words is "seventy-three million, one hundred twenty-eight thousand, one hundred thirty-two".