73222800 has 240 divisors, whose sum is σ = 280458240. Its totient is φ = 15966720.

The previous prime is 73222783. The next prime is 73222817. The reversal of 73222800 is 822237.

It is an interprime number because it is at equal distance from previous prime (73222783) and next prime (73222817).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 193011 + ... + 193389.

It is an arithmetic number, because the mean of its divisors is an integer number (1168576).

Almost surely, 2^73222800 is an apocalyptic number.

73222800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73222800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140229120).

73222800 is an abundant number, since it is smaller than the sum of its proper divisors (207235440).

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

73222800 is a wasteful number, since it uses less digits than its factorization.

73222800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 73222800 is about 8557.0321958025. The cubic root of 73222800 is about 418.3586735478.

It can be divided in two parts, 732 and 22800, that added together give a palindrome (23532).

The spelling of 73222800 in words is "seventy-three million, two hundred twenty-two thousand, eight hundred".