73008560 has 80 divisors (see below), whose sum is σ = 176211936. Its totient is φ = 28114944.

The previous prime is 73008553. The next prime is 73008571. The reversal of 73008560 is 6580037.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283952 + ... + 284208.

Almost surely, 2^73008560 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 73008560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88105968).

73008560 is an abundant number, since it is smaller than the sum of its proper divisors (103203376).

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

73008560 is a wasteful number, since it uses less digits than its factorization.

73008560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 73008560 is about 8544.5046667434. The cubic root of 73008560 is about 417.9502546816.

Adding to 73008560 its reverse (6580037), we get a palindrome (79588597).

The spelling of 73008560 in words is "seventy-three million, eight thousand, five hundred sixty".