72803133 has 12 divisors (see below), whose sum is σ = 113249500. Its totient is φ = 44801856.

The previous prime is 72803111. The next prime is 72803147. The reversal of 72803133 is 33130827.

It can be written as a sum of positive squares in 2 ways, for example, as 8450649 + 64352484 = 2907^2 + 8022^2 .

It is not a de Polignac number, because 72803133 - 2¹² = 72799037 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72803097 and 72803106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72803153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311008 + ... + 311241.

Almost surely, 2^72803133 is an apocalyptic number.

It is an amenable number.

72803133 is a deficient number, since it is larger than the sum of its proper divisors (40446367).

72803133 is a wasteful number, since it uses less digits than its factorization.

72803133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622268 (or 622265 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 72803133 is about 8532.4751977372. The cubic root of 72803133 is about 417.5578855281.

The spelling of 72803133 in words is "seventy-two million, eight hundred three thousand, one hundred thirty-three".