73605520 has 80 divisors (see below), whose sum is σ = 180702720. Its totient is φ = 27827712.

The previous prime is 73605503. The next prime is 73605533. The reversal of 73605520 is 2550637.

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

It is a super-3 number, since 3×73605520³ (a number of 25 digits) contains 333 as substring.

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, 200377 + ... + 200743.

It is an arithmetic number, because the mean of its divisors is an integer number (2258784).

Almost surely, 2^73605520 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 73605520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90351360).

73605520 is an abundant number, since it is smaller than the sum of its proper divisors (107097200).

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

73605520 is a wasteful number, since it uses less digits than its factorization.

73605520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 73605520 is about 8579.3659439378. The cubic root of 73605520 is about 419.0862979023.

It can be divided in two parts, 7360 and 5520, that added together give a triangular number (12880 = T₁₆₀).

The spelling of 73605520 in words is "seventy-three million, six hundred five thousand, five hundred twenty".