73524 has 24 divisors (see below), whose sum is σ = 187488. Its totient is φ = 22240.

The previous prime is 73523. The next prime is 73529. The reversal of 73524 is 42537.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 73524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73523) 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, 147 + ... + 410.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁷³⁵²⁴ is an apocalyptic number.

It is an amenable number.

73524 is an abundant number, since it is smaller than the sum of its proper divisors (113964).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

73524 is a wasteful number, since it uses less digits than its factorization.

73524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 573 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 73524 is about 271.1530932886. The cubic root of 73524 is about 41.8931524477.

The spelling of 73524 in words is "seventy-three thousand, five hundred twenty-four".