73424 has 20 divisors (see below), whose sum is σ = 153636. Its totient is φ = 33792.

The previous prime is 73421. The next prime is 73433. The reversal of 73424 is 42437.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19600 + 53824 = 140^2 + 232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 73396 and 73405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73421) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32 + ... + 384.

2⁷³⁴²⁴ 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 73424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76818).

73424 is an abundant number, since it is smaller than the sum of its proper divisors (80212).

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

73424 is a wasteful number, since it uses less digits than its factorization.

73424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its digits is 672, while the sum is 20.

The square root of 73424 is about 270.9686328710. The cubic root of 73424 is about 41.8741508701.

The spelling of 73424 in words is "seventy-three thousand, four hundred twenty-four", and thus it is an iban number.