73824 has 24 divisors (see below), whose sum is σ = 194040. Its totient is φ = 24576.

The previous prime is 73823. The next prime is 73847. The reversal of 73824 is 42837.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 7 + 3⁴ + 8 + 2¹³ + 4⁸ .

It is a plaindrome in base 9 and base 13.

It is a junction number, because it is equal to n+sod(n) for n = 73794 and 73803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73823) 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, 289 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (8085).

2⁷³⁸²⁴ is an apocalyptic number.

It is an amenable number.

73824 is an abundant number, since it is smaller than the sum of its proper divisors (120216).

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 (97020).

73824 is a wasteful number, since it uses less digits than its factorization.

73824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 774 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 73824 is about 271.7057231639. The cubic root of 73824 is about 41.9500540069.

The spelling of 73824 in words is "seventy-three thousand, eight hundred twenty-four".