72966333 has 16 divisors (see below), whose sum is σ = 107168256. Its totient is φ = 43790640.

The previous prime is 72966323. The next prime is 72966353. The reversal of 72966333 is 33366927.

It is not a de Polignac number, because 72966333 - 2⁴ = 72966317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72966291 and 72966300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72966323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7335 + ... + 14132.

It is an arithmetic number, because the mean of its divisors is an integer number (6698016).

Almost surely, 2^72966333 is an apocalyptic number.

It is an amenable number.

72966333 is a deficient number, since it is larger than the sum of its proper divisors (34201923).

72966333 is a wasteful number, since it uses less digits than its factorization.

72966333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21584.

The product of its digits is 122472, while the sum is 39.

The square root of 72966333 is about 8542.0333059524. The cubic root of 72966333 is about 417.8696605290.

The spelling of 72966333 in words is "seventy-two million, nine hundred sixty-six thousand, three hundred thirty-three".