73505424 has 80 divisors (see below), whose sum is σ = 199987200. Its totient is φ = 23219328.

The previous prime is 73505423. The next prime is 73505449. The reversal of 73505424 is 42450537.

It is a junction number, because it is equal to n+sod(n) for n = 73505391 and 73505400.

It is not an unprimeable number, because it can be changed into a prime (73505423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153217 + ... + 153695.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^73505424 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 73505424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99993600).

73505424 is an abundant number, since it is smaller than the sum of its proper divisors (126481776).

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

73505424 is a wasteful number, since it uses less digits than its factorization.

73505424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 73505424 is about 8573.5304280092. The cubic root of 73505424 is about 418.8962401827.

It can be divided in two parts, 735054 and 24, that added together give a triangular number (735078 = T₁₂₁₂).

The spelling of 73505424 in words is "seventy-three million, five hundred five thousand, four hundred twenty-four".