73161200 has 240 divisors, whose sum is σ = 224182080. Its totient is φ = 22364160.

The previous prime is 73161199. The next prime is 73161203. The reversal of 73161200 is 216137.

It is a happy number.

It is a super-2 number, since 2×73161200² = 10705122370880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73161203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1380374 + ... + 1380426.

It is an arithmetic number, because the mean of its divisors is an integer number (934092).

Almost surely, 2^73161200 is an apocalyptic number.

73161200 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 73161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112091040).

73161200 is an abundant number, since it is smaller than the sum of its proper divisors (151020880).

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

73161200 is a wasteful number, since it uses less digits than its factorization.

73161200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 73161200 is about 8553.4320597056. The cubic root of 73161200 is about 418.2413233763.

Adding to 73161200 its reverse (216137), we get a palindrome (73377337).

The spelling of 73161200 in words is "seventy-three million, one hundred sixty-one thousand, two hundred".