72968563 has 2 divisors, whose sum is σ = 72968564. Its totient is φ = 72968562.

The previous prime is 72968509. The next prime is 72968579. The reversal of 72968563 is 36586927.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72968563 - 2¹⁷ = 72837491 is a prime.

It is a super-2 number, since 2×72968563² = 10648822372569938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72968593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36484281 + 36484282.

It is an arithmetic number, because the mean of its divisors is an integer number (36484282).

Almost surely, 2^72968563 is an apocalyptic number.

72968563 is a deficient number, since it is larger than the sum of its proper divisors (1).

72968563 is an equidigital number, since it uses as much as digits as its factorization.

72968563 is an evil number, because the sum of its binary digits is even.

The product of its digits is 544320, while the sum is 46.

The square root of 72968563 is about 8542.1638359376. The cubic root of 72968563 is about 417.8739174687.

The spelling of 72968563 in words is "seventy-two million, nine hundred sixty-eight thousand, five hundred sixty-three".