73530 has 48 divisors (see below), whose sum is σ = 205920. Its totient is φ = 18144.

The previous prime is 73529. The next prime is 73547. The reversal of 73530 is 3537.

It is a Harshad number since it is a multiple of its sum of digits (18).

73530 is an undulating number in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1689 + ... + 1731.

It is an arithmetic number, because the mean of its divisors is an integer number (4290).

2⁷³⁵³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102960).

73530 is an abundant number, since it is smaller than the sum of its proper divisors (132390).

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

73530 is a wasteful number, since it uses less digits than its factorization.

73530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 73530 is about 271.1641569234. The cubic root of 73530 is about 41.8942919944.

The spelling of 73530 in words is "seventy-three thousand, five hundred thirty".