73200 has 60 divisors (see below), whose sum is σ = 238328. Its totient is φ = 19200.

The previous prime is 73189. The next prime is 73237. The reversal of 73200 is 237.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

73200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1170 + ... + 1230.

2⁷³²⁰⁰ 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 73200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119164).

73200 is an abundant number, since it is smaller than the sum of its proper divisors (165128).

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

73200 is a wasteful number, since it uses less digits than its factorization.

73200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 73200 is about 270.5549851694. The cubic root of 73200 is about 41.8315246419.

Adding to 73200 its reverse (237), we get a palindrome (73437).

The spelling of 73200 in words is "seventy-three thousand, two hundred", and thus it is an iban number.