73213200 has 120 divisors (see below), whose sum is σ = 260623200. Its totient is φ = 19520640.

The previous prime is 73213187. The next prime is 73213223. The reversal of 73213200 is 231237.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7411 + ... + 14189.

It is an arithmetic number, because the mean of its divisors is an integer number (2171860).

Almost surely, 2^73213200 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 73213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130311600).

73213200 is an abundant number, since it is smaller than the sum of its proper divisors (187410000).

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

73213200 is a wasteful number, since it uses less digits than its factorization.

73213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6806 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 73213200 is about 8556.4712352698. The cubic root of 73213200 is about 418.3403895397.

Adding to 73213200 its reverse (231237), we get a palindrome (73444437).

The spelling of 73213200 in words is "seventy-three million, two hundred thirteen thousand, two hundred".