73461200 has 60 divisors (see below), whose sum is σ = 180637248. Its totient is φ = 28694400.

The previous prime is 73461197. The next prime is 73461209. The reversal of 73461200 is 216437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73461209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15065 + ... + 19335.

Almost surely, 2^73461200 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 73461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90318624).

73461200 is an abundant number, since it is smaller than the sum of its proper divisors (107176048).

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

73461200 is a wasteful number, since it uses less digits than its factorization.

73461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 73461200 is about 8570.9509390732. The cubic root of 73461200 is about 418.8122147110.

Adding to 73461200 its reverse (216437), we get a palindrome (73677637).

The spelling of 73461200 in words is "seventy-three million, four hundred sixty-one thousand, two hundred".