73580 has 24 divisors (see below), whose sum is σ = 166992. Its totient is φ = 27072.

The previous prime is 73571. The next prime is 73583. The reversal of 73580 is 8537.

73580 = T₆₆ + T₆₇ + ... + T₈₉.

It is not an unprimeable number, because it can be changed into a prime (73583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (6958).

2⁷³⁵⁸⁰ 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 73580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83496).

73580 is an abundant number, since it is smaller than the sum of its proper divisors (93412).

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

73580 is a wasteful number, since it uses less digits than its factorization.

73580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 73580 is about 271.2563363315. The cubic root of 73580 is about 41.9037858063.

The spelling of 73580 in words is "seventy-three thousand, five hundred eighty".