72887133 has 24 divisors (see below), whose sum is σ = 107464000. Its totient is φ = 43908480.

The previous prime is 72887123. The next prime is 72887183. The reversal of 72887133 is 33178827.

It is not a de Polignac number, because 72887133 - 2⁴ = 72887117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72887091 and 72887100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72887123) 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 23 ways as a sum of consecutive naturals, for example, 71733 + ... + 72741.

Almost surely, 2^72887133 is an apocalyptic number.

It is an amenable number.

72887133 is a deficient number, since it is larger than the sum of its proper divisors (34576867).

72887133 is a wasteful number, since it uses less digits than its factorization.

72887133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1222 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 72887133 is about 8537.3961487095. The cubic root of 72887133 is about 417.7184160796.

The spelling of 72887133 in words is "seventy-two million, eight hundred eighty-seven thousand, one hundred thirty-three".