72867829 has 2 divisors, whose sum is σ = 72867830. Its totient is φ = 72867828.

The previous prime is 72867827. The next prime is 72867859. The reversal of 72867829 is 92876827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72760900 + 106929 = 8530^2 + 327^2 .

It is a cyclic number.

It is not a de Polignac number, because 72867829 - 2¹ = 72867827 is a prime.

Together with 72867827, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72867827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36433914 + 36433915.

It is an arithmetic number, because the mean of its divisors is an integer number (36433915).

Almost surely, 2^72867829 is an apocalyptic number.

It is an amenable number.

72867829 is a deficient number, since it is larger than the sum of its proper divisors (1).

72867829 is an equidigital number, since it uses as much as digits as its factorization.

72867829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 677376, while the sum is 49.

The square root of 72867829 is about 8536.2655183634. The cubic root of 72867829 is about 417.6815355496.

The spelling of 72867829 in words is "seventy-two million, eight hundred sixty-seven thousand, eight hundred twenty-nine".