72300327 has 16 divisors (see below), whose sum is σ = 105338880. Its totient is φ = 43745600.

The previous prime is 72300289. The next prime is 72300353.

72300327 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72300327 - 2⁷ = 72300199 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72300297 and 72300306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72300367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23674 + ... + 26552.

It is an arithmetic number, because the mean of its divisors is an integer number (6583680).

Almost surely, 2^72300327 is an apocalyptic number.

72300327 is a deficient number, since it is larger than the sum of its proper divisors (33038553).

72300327 is a wasteful number, since it uses less digits than its factorization.

72300327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654.

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 72300327 is about 8502.9598964125. The cubic root of 72300327 is about 416.5943930822.

It can be divided in two parts, 72300 and 327, that added together give a palindrome (72627).

The spelling of 72300327 in words is "seventy-two million, three hundred thousand, three hundred twenty-seven".