72002963 has 2 divisors, whose sum is σ = 72002964. Its totient is φ = 72002962.

The previous prime is 72002933. The next prime is 72002981. The reversal of 72002963 is 36920027.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72002963 - 2⁶ = 72002899 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72002923) 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, 36001481 + 36001482.

It is an arithmetic number, because the mean of its divisors is an integer number (36001482).

Almost surely, 2^72002963 is an apocalyptic number.

72002963 is a deficient number, since it is larger than the sum of its proper divisors (1).

72002963 is an equidigital number, since it uses as much as digits as its factorization.

72002963 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 72002963 is about 8485.4559688917. The cubic root of 72002963 is about 416.0224712806.

The spelling of 72002963 in words is "seventy-two million, two thousand, nine hundred sixty-three".