73128080 has 40 divisors (see below), whose sum is σ = 171631872. Its totient is φ = 28974464.

The previous prime is 73128073. The next prime is 73128089. The reversal of 73128080 is 8082137.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (73128089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4289 + ... + 12831.

Almost surely, 2^73128080 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 73128080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85815936).

73128080 is an abundant number, since it is smaller than the sum of its proper divisors (98503792).

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

73128080 is a wasteful number, since it uses less digits than its factorization.

73128080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8663 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 73128080 is about 8551.4957755939. The cubic root of 73128080 is about 418.1782013779.

The spelling of 73128080 in words is "seventy-three million, one hundred twenty-eight thousand, eighty".