72300 has 36 divisors (see below), whose sum is σ = 210056. Its totient is φ = 19200.

The previous prime is 72287. The next prime is 72307. The reversal of 72300 is 327.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72300.

It is not an unprimeable number, because it can be changed into a prime (72307) 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, 180 + ... + 420.

2⁷²³⁰⁰ 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 72300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105028).

72300 is an abundant number, since it is smaller than the sum of its proper divisors (137756).

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

72300 is a wasteful number, since it uses less digits than its factorization.

72300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

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

The square root of 72300 is about 268.8865931950. The cubic root of 72300 is about 41.6593765023.

Adding to 72300 its reverse (327), we get a palindrome (72627).

The spelling of 72300 in words is "seventy-two thousand, three hundred", and thus it is an iban number.