73024 has 28 divisors (see below), whose sum is σ = 166624. Its totient is φ = 31104.

The previous prime is 73019. The next prime is 73037. The reversal of 73024 is 42037.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 72989 and 73007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 367 + ... + 529.

2⁷³⁰²⁴ 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 73024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83312).

73024 is an abundant number, since it is smaller than the sum of its proper divisors (93600).

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

73024 is a wasteful number, since it uses less digits than its factorization.

73024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 73024 is about 270.2295320649. The cubic root of 73024 is about 41.7979715597.

The spelling of 73024 in words is "seventy-three thousand, twenty-four", and thus it is an iban number.