73344264 has 64 divisors (see below), whose sum is σ = 216330240. Its totient is φ = 20278080.

The previous prime is 73344259. The next prime is 73344269. The reversal of 73344264 is 46244337.

It is an interprime number because it is at equal distance from previous prime (73344259) and next prime (73344269).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (73344269) 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 15 ways as a sum of consecutive naturals, for example, 1834 + ... + 12249.

It is an arithmetic number, because the mean of its divisors is an integer number (3380160).

Almost surely, 2^73344264 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 73344264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108165120).

73344264 is an abundant number, since it is smaller than the sum of its proper divisors (142985976).

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

73344264 is a wasteful number, since it uses less digits than its factorization.

73344264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14130 (or 14126 counting only the distinct ones).

The product of its digits is 48384, while the sum is 33.

The square root of 73344264 is about 8564.1265754308. The cubic root of 73344264 is about 418.5898740560.

The spelling of 73344264 in words is "seventy-three million, three hundred forty-four thousand, two hundred sixty-four".