73123200 has 144 divisors (see below), whose sum is σ = 261023100. Its totient is φ = 19491840.

The previous prime is 73123189. The next prime is 73123207. The reversal of 73123200 is 232137.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73123207) 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 17 ways as a sum of consecutive naturals, for example, 27531 + ... + 30069.

Almost surely, 2^73123200 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 73123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130511550).

73123200 is an abundant number, since it is smaller than the sum of its proper divisors (187899900).

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

73123200 is a wasteful number, since it uses less digits than its factorization.

73123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2549 counting only the distinct ones).

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

The square root of 73123200 is about 8551.2104406335. The cubic root of 73123200 is about 418.1688991827.

Adding to 73123200 its reverse (232137), we get a palindrome (73355337).

The spelling of 73123200 in words is "seventy-three million, one hundred twenty-three thousand, two hundred".