72864133 has 2 divisors, whose sum is σ = 72864134. Its totient is φ = 72864132.

The previous prime is 72864079. The next prime is 72864139. The reversal of 72864133 is 33146827.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50225569 + 22638564 = 7087^2 + 4758^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72864133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72864139) 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 as a sum of consecutive naturals, namely, 36432066 + 36432067.

It is an arithmetic number, because the mean of its divisors is an integer number (36432067).

Almost surely, 2^72864133 is an apocalyptic number.

It is an amenable number.

72864133 is a deficient number, since it is larger than the sum of its proper divisors (1).

72864133 is an equidigital number, since it uses as much as digits as its factorization.

72864133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 34.

The square root of 72864133 is about 8536.0490275068. The cubic root of 72864133 is about 417.6744735531.

The spelling of 72864133 in words is "seventy-two million, eight hundred sixty-four thousand, one hundred thirty-three".