73222600 has 96 divisors (see below), whose sum is σ = 188425440. Its totient is φ = 26240000.

The previous prime is 73222579. The next prime is 73222601. The reversal of 73222600 is 622237.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (73222601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182400 + ... + 182800.

It is an arithmetic number, because the mean of its divisors is an integer number (1962765).

Almost surely, 2^73222600 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 73222600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94212720).

73222600 is an abundant number, since it is smaller than the sum of its proper divisors (115202840).

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

73222600 is a wasteful number, since it uses less digits than its factorization.

73222600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 73222600 is about 8557.0205094998. The cubic root of 73222600 is about 418.3582926472.

Adding to 73222600 its reverse (622237), we get a palindrome (73844837).

It can be divided in two parts, 732 and 22600, that added together give a palindrome (23332).

The spelling of 73222600 in words is "seventy-three million, two hundred twenty-two thousand, six hundred".