73000080 has 120 divisors (see below), whose sum is σ = 249914808. Its totient is φ = 19089408.

The previous prime is 73000063. The next prime is 73000093. The reversal of 73000080 is 8000037.

It can be written as a sum of positive squares in 4 ways, for example, as 26378496 + 46621584 = 5136^2 + 6828^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37204 + ... + 39116.

Almost surely, 2^73000080 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 73000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124957404).

73000080 is an abundant number, since it is smaller than the sum of its proper divisors (176914728).

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

73000080 is a wasteful number, since it uses less digits than its factorization.

73000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 73000080 is about 8544.0084269621. The cubic root of 73000080 is about 417.9340723080.

The spelling of 73000080 in words is "seventy-three million, eighty", and thus it is an aban number and an uban number.