72963523 has 2 divisors, whose sum is σ = 72963524. Its totient is φ = 72963522.

The previous prime is 72963493. The next prime is 72963571. The reversal of 72963523 is 32536927.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72963523 - 2¹⁷ = 72832451 is a prime.

It is not a weakly prime, because it can be changed into another prime (72964523) 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, 36481761 + 36481762.

It is an arithmetic number, because the mean of its divisors is an integer number (36481762).

Almost surely, 2^72963523 is an apocalyptic number.

72963523 is a deficient number, since it is larger than the sum of its proper divisors (1).

72963523 is an equidigital number, since it uses as much as digits as its factorization.

72963523 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 68040, while the sum is 37.

The square root of 72963523 is about 8541.8688236240. The cubic root of 72963523 is about 417.8642962796.

The spelling of 72963523 in words is "seventy-two million, nine hundred sixty-three thousand, five hundred twenty-three".