72567263 has 2 divisors, whose sum is σ = 72567264. Its totient is φ = 72567262.

The previous prime is 72567241. The next prime is 72567301. The reversal of 72567263 is 36276527.

It is an a-pointer prime, because the next prime (72567301) can be obtained adding 72567263 to its sum of digits (38).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72567263 - 2⁶ = 72567199 is a prime.

It is a super-2 number, since 2×72567263² = 10532015318622338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72567163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36283631 + 36283632.

It is an arithmetic number, because the mean of its divisors is an integer number (36283632).

Almost surely, 2^72567263 is an apocalyptic number.

72567263 is a deficient number, since it is larger than the sum of its proper divisors (1).

72567263 is an equidigital number, since it uses as much as digits as its factorization.

72567263 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 105840, while the sum is 38.

The square root of 72567263 is about 8518.6420866239. The cubic root of 72567263 is about 417.1064583743.

The spelling of 72567263 in words is "seventy-two million, five hundred sixty-seven thousand, two hundred sixty-three".