72837769 has 2 divisors, whose sum is σ = 72837770. Its totient is φ = 72837768.

The previous prime is 72837767. The next prime is 72837797. The reversal of 72837769 is 96773827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71910400 + 927369 = 8480^2 + 963^2 .

It is an emirp because it is prime and its reverse (96773827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72837769 - 2¹ = 72837767 is a prime.

It is a super-2 number, since 2×72837769² = 10610681185794722, which contains 22 as substring.

Together with 72837767, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72837767) 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, 36418884 + 36418885.

It is an arithmetic number, because the mean of its divisors is an integer number (36418885).

Almost surely, 2^72837769 is an apocalyptic number.

It is an amenable number.

72837769 is a deficient number, since it is larger than the sum of its proper divisors (1).

72837769 is an equidigital number, since it uses as much as digits as its factorization.

72837769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 889056, while the sum is 49.

The square root of 72837769 is about 8534.5046136258. The cubic root of 72837769 is about 417.6240925782.

The spelling of 72837769 in words is "seventy-two million, eight hundred thirty-seven thousand, seven hundred sixty-nine".