73440224 has 72 divisors (see below), whose sum is σ = 171266760. Its totient is φ = 30792960.

The previous prime is 73440223. The next prime is 73440247. The reversal of 73440224 is 42204437.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 73440193 and 73440202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73440223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49607 + ... + 51065.

It is an arithmetic number, because the mean of its divisors is an integer number (2378705).

Almost surely, 2^73440224 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 73440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85633380).

73440224 is an abundant number, since it is smaller than the sum of its proper divisors (97826536).

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

73440224 is a wasteful number, since it uses less digits than its factorization.

73440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 73440224 is about 8569.7271835222. The cubic root of 73440224 is about 418.7723485808.

The spelling of 73440224 in words is "seventy-three million, four hundred forty thousand, two hundred twenty-four".