72133013 has 2 divisors, whose sum is σ = 72133014. Its totient is φ = 72133012.

The previous prime is 72133007. The next prime is 72133031. The reversal of 72133013 is 31033127.

It is a happy number.

Together with next prime (72133031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56821444 + 15311569 = 7538^2 + 3913^2 .

It is a cyclic number.

It is not a de Polignac number, because 72133013 - 2⁴ = 72132997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72133003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36066506 + 36066507.

It is an arithmetic number, because the mean of its divisors is an integer number (36066507).

Almost surely, 2^72133013 is an apocalyptic number.

It is an amenable number.

72133013 is a deficient number, since it is larger than the sum of its proper divisors (1).

72133013 is an equidigital number, since it uses as much as digits as its factorization.

72133013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 72133013 is about 8493.1156238450. The cubic root of 72133013 is about 416.2727905229.

The spelling of 72133013 in words is "seventy-two million, one hundred thirty-three thousand, thirteen".