72063300 has 72 divisors (see below), whose sum is σ = 210924000. Its totient is φ = 18993920.

The previous prime is 72063287. The next prime is 72063307. The reversal of 72063300 is 336027.

It is not an unprimeable number, because it can be changed into a prime (72063307) by changing a digit.

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, 25351 + ... + 28049.

It is an arithmetic number, because the mean of its divisors is an integer number (2929500).

Almost surely, 2^72063300 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 72063300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105462000).

72063300 is an abundant number, since it is smaller than the sum of its proper divisors (138860700).

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

72063300 is a wasteful number, since it uses less digits than its factorization.

72063300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 72063300 is about 8489.0105430492. The cubic root of 72063300 is about 416.1386449237.

Adding to 72063300 its reverse (336027), we get a palindrome (72399327).

The spelling of 72063300 in words is "seventy-two million, sixty-three thousand, three hundred".