72567797 has 2 divisors, whose sum is σ = 72567798. Its totient is φ = 72567796.

The previous prime is 72567701. The next prime is 72567799. The reversal of 72567797 is 79776527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54257956 + 18309841 = 7366^2 + 4279^2 .

It is a cyclic number.

It is not a de Polignac number, because 72567797 - 2²⁶ = 5458933 is a prime.

It is a super-2 number, since 2×72567797² = 10532170322866418, which contains 22 as substring.

Together with 72567799, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72567799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36283898 + 36283899.

It is an arithmetic number, because the mean of its divisors is an integer number (36283899).

Almost surely, 2^72567797 is an apocalyptic number.

It is an amenable number.

72567797 is a deficient number, since it is larger than the sum of its proper divisors (1).

72567797 is an equidigital number, since it uses as much as digits as its factorization.

72567797 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296540, while the sum is 50.

The square root of 72567797 is about 8518.6734295898. The cubic root of 72567797 is about 417.1074814908.

The spelling of 72567797 in words is "seventy-two million, five hundred sixty-seven thousand, seven hundred ninety-seven".