73824020 has 72 divisors (see below), whose sum is σ = 168158592. Its totient is φ = 27170880.

The previous prime is 73824001. The next prime is 73824059. The reversal of 73824020 is 2042837.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441977 + ... + 442143.

It is an arithmetic number, because the mean of its divisors is an integer number (2335536).

Almost surely, 2^73824020 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 73824020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84079296).

73824020 is an abundant number, since it is smaller than the sum of its proper divisors (94334572).

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

73824020 is a wasteful number, since it uses less digits than its factorization.

73824020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 73824020 is about 8592.0905488711. The cubic root of 73824020 is about 419.5005779523.

Adding to 73824020 its reverse (2042837), we get a palindrome (75866857).

The spelling of 73824020 in words is "seventy-three million, eight hundred twenty-four thousand, twenty".