73528 has 32 divisors (see below), whose sum is σ = 171360. Its totient is φ = 28800.

The previous prime is 73523. The next prime is 73529. The reversal of 73528 is 82537.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73523) by changing a digit.

73528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 678 + ... + 778.

It is an arithmetic number, because the mean of its divisors is an integer number (5355).

2⁷³⁵²⁸ 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 73528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680).

73528 is an abundant number, since it is smaller than the sum of its proper divisors (97832).

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

73528 is a wasteful number, since it uses less digits than its factorization.

73528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 73528 is about 271.1604690953. The cubic root of 73528 is about 41.8939121524.

Subtracting 73528 from its reverse (82537), we obtain a palindrome (9009).

The spelling of 73528 in words is "seventy-three thousand, five hundred twenty-eight".