73685760 has 144 divisors (see below), whose sum is σ = 243317760. Its totient is φ = 18984960.

The previous prime is 73685747. The next prime is 73685761. The reversal of 73685760 is 6758637.

It is not an unprimeable number, because it can be changed into a prime (73685761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118731 + ... + 119349.

Almost surely, 2^73685760 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 73685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121658880).

73685760 is an abundant number, since it is smaller than the sum of its proper divisors (169632000).

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

73685760 is a wasteful number, since it uses less digits than its factorization.

73685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 73685760 is about 8584.0410064258. The cubic root of 73685760 is about 419.2385295666.

The spelling of 73685760 in words is "seventy-three million, six hundred eighty-five thousand, seven hundred sixty".