72607273 has 2 divisors, whose sum is σ = 72607274. Its totient is φ = 72607272.

The previous prime is 72607267. The next prime is 72607279. The reversal of 72607273 is 37270627.

It is a balanced prime because it is at equal distance from previous prime (72607267) and next prime (72607279).

It can be written as a sum of positive squares in only one way, i.e., 39980329 + 32626944 = 6323^2 + 5712^2 .

It is a cyclic number.

It is not a de Polignac number, because 72607273 - 2²⁵ = 39052841 is a prime.

It is not a weakly prime, because it can be changed into another prime (72607279) 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, 36303636 + 36303637.

It is an arithmetic number, because the mean of its divisors is an integer number (36303637).

Almost surely, 2^72607273 is an apocalyptic number.

It is an amenable number.

72607273 is a deficient number, since it is larger than the sum of its proper divisors (1).

72607273 is an equidigital number, since it uses as much as digits as its factorization.

72607273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24696, while the sum is 34.

The square root of 72607273 is about 8520.9901419964. The cubic root of 72607273 is about 417.1831015813.

The spelling of 72607273 in words is "seventy-two million, six hundred seven thousand, two hundred seventy-three".