72352673 has 2 divisors, whose sum is σ = 72352674. Its totient is φ = 72352672.

The previous prime is 72352613. The next prime is 72352681. The reversal of 72352673 is 37625327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72199009 + 153664 = 8497^2 + 392^2 .

It is a cyclic number.

It is not a de Polignac number, because 72352673 - 2¹⁰ = 72351649 is a prime.

It is not a weakly prime, because it can be changed into another prime (72352613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36176336 + 36176337.

It is an arithmetic number, because the mean of its divisors is an integer number (36176337).

Almost surely, 2^72352673 is an apocalyptic number.

It is an amenable number.

72352673 is a deficient number, since it is larger than the sum of its proper divisors (1).

72352673 is an equidigital number, since it uses as much as digits as its factorization.

72352673 is an evil number, because the sum of its binary digits is even.

The product of its digits is 52920, while the sum is 35.

The square root of 72352673 is about 8506.0374440746. The cubic root of 72352673 is about 416.6949080236.

The spelling of 72352673 in words is "seventy-two million, three hundred fifty-two thousand, six hundred seventy-three".