72323133132327 has 96 divisors (see below), whose sum is σ = 122533434213120. Its totient is φ = 37521038661120.

The previous prime is 72323133132301. The next prime is 72323133132331.

72323133132327 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72323133132327 - 2²⁴ = 72323116355111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72323133132227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4077520203 + ... + 4077537939.

It is an arithmetic number, because the mean of its divisors is an integer number (1276389939720).

Almost surely, 2^{72323133132327} is an apocalyptic number.

72323133132327 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72323133132327 is a deficient number, since it is larger than the sum of its proper divisors (50210301080793).

72323133132327 is a wasteful number, since it uses less digits than its factorization.

72323133132327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20941 (or 20934 counting only the distinct ones).

The product of its digits is 571536, while the sum is 42.

The spelling of 72323133132327 in words is "seventy-two trillion, three hundred twenty-three billion, one hundred thirty-three million, one hundred thirty-two thousand, three hundred twenty-seven".