72000300 has 72 divisors (see below), whose sum is σ = 210361536. Its totient is φ = 19012160.

The previous prime is 72000289. The next prime is 72000343. The reversal of 72000300 is 300027.

72000300 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

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

72000300 is strictly pandigital in base 9.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30979 + ... + 33221.

It is an arithmetic number, because the mean of its divisors is an integer number (2921688).

Almost surely, 2^72000300 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 72000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105180768).

72000300 is an abundant number, since it is smaller than the sum of its proper divisors (138361236).

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

72000300 is a wasteful number, since it uses less digits than its factorization.

72000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2360 counting only the distinct ones).

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

The square root of 72000300 is about 8485.2990518897. The cubic root of 72000300 is about 416.0173424106.

Adding to 72000300 its reverse (300027), we get a palindrome (72300327).

The spelling of 72000300 in words is "seventy-two million, three hundred", and thus it is an aban number.