72133007 has 2 divisors, whose sum is σ = 72133008. Its totient is φ = 72133006.

The previous prime is 72133003. The next prime is 72133013. The reversal of 72133007 is 70033127.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72133007 - 2² = 72133003 is a prime.

It is a Chen prime.

It is equal to p_4236080 and since 72133007 and 4236080 have the same sum of digits, it is a Honaker prime.

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 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, 36066503 + 36066504.

It is an arithmetic number, because the mean of its divisors is an integer number (36066504).

Almost surely, 2^72133007 is an apocalyptic number.

72133007 is a deficient number, since it is larger than the sum of its proper divisors (1).

72133007 is an equidigital number, since it uses as much as digits as its factorization.

72133007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 72133007 is about 8493.1152706177. The cubic root of 72133007 is about 416.2727789811.

The spelling of 72133007 in words is "seventy-two million, one hundred thirty-three thousand, seven".