73217600 has 84 divisors (see below), whose sum is σ = 183117744. Its totient is φ = 28807680.

The previous prime is 73217597. The next prime is 73217647. The reversal of 73217600 is 671237.

It is a self number, because there is not a number n which added to its sum of digits gives 73217600.

It is an unprimeable number.

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, 106859 + ... + 107541.

Almost surely, 2^73217600 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 73217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91558872).

73217600 is an abundant number, since it is smaller than the sum of its proper divisors (109900144).

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

73217600 is a wasteful number, since it uses less digits than its factorization.

73217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 73217600 is about 8556.7283467456. The cubic root of 73217600 is about 418.3487699085.

Adding to 73217600 its reverse (671237), we get a palindrome (73888837).

The spelling of 73217600 in words is "seventy-three million, two hundred seventeen thousand, six hundred".