73416224 has 48 divisors (see below), whose sum is σ = 165771648. Its totient is φ = 31352832.

The previous prime is 73416221. The next prime is 73416227. The reversal of 73416224 is 42261437.

It is an interprime number because it is at equal distance from previous prime (73416221) and next prime (73416227).

It is not an unprimeable number, because it can be changed into a prime (73416221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108752 + ... + 109424.

It is an arithmetic number, because the mean of its divisors is an integer number (3453576).

Almost surely, 2^73416224 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 73416224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82885824).

73416224 is an abundant number, since it is smaller than the sum of its proper divisors (92355424).

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

73416224 is a wasteful number, since it uses less digits than its factorization.

73416224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1169 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 73416224 is about 8568.3267911536. The cubic root of 73416224 is about 418.7267258469.

The spelling of 73416224 in words is "seventy-three million, four hundred sixteen thousand, two hundred twenty-four".