73538560 has 88 divisors (see below), whose sum is σ = 180398016. Its totient is φ = 28753920.

The previous prime is 73538539. The next prime is 73538561. The reversal of 73538560 is 6583537.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73538561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271225 + ... + 271495.

Almost surely, 2^73538560 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 73538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90199008).

73538560 is an abundant number, since it is smaller than the sum of its proper divisors (106859456).

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

73538560 is a wasteful number, since it uses less digits than its factorization.

73538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 73538560 is about 8575.4626697339. The cubic root of 73538560 is about 418.9591764025.

The spelling of 73538560 in words is "seventy-three million, five hundred thirty-eight thousand, five hundred sixty".