72333327 has 16 divisors (see below), whose sum is σ = 105356160. Its totient is φ = 43778400.

The previous prime is 72333319. The next prime is 72333341.

72333327 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72333327 - 2³ = 72333319 is a prime.

It is a super-2 number, since 2×72333327² = 10464220389777858, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72333294 and 72333303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72333127) 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, 40677 + ... + 42417.

It is an arithmetic number, because the mean of its divisors is an integer number (6584760).

Almost surely, 2^72333327 is an apocalyptic number.

72333327 is a deficient number, since it is larger than the sum of its proper divisors (33022833).

72333327 is a wasteful number, since it uses less digits than its factorization.

72333327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014.

The product of its digits is 15876, while the sum is 30.

The square root of 72333327 is about 8504.9001757810. The cubic root of 72333327 is about 416.6577654276.

The spelling of 72333327 in words is "seventy-two million, three hundred thirty-three thousand, three hundred twenty-seven".