72832561 has 2 divisors, whose sum is σ = 72832562. Its totient is φ = 72832560.

The previous prime is 72832553. The next prime is 72832589. The reversal of 72832561 is 16523827.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59582961 + 13249600 = 7719^2 + 3640^2 .

It is an emirp because it is prime and its reverse (16523827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72832561 - 2³ = 72832553 is a prime.

It is equal to p_4274782 and since 72832561 and 4274782 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (72832961) 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, 36416280 + 36416281.

It is an arithmetic number, because the mean of its divisors is an integer number (36416281).

Almost surely, 2^72832561 is an apocalyptic number.

It is an amenable number.

72832561 is a deficient number, since it is larger than the sum of its proper divisors (1).

72832561 is an equidigital number, since it uses as much as digits as its factorization.

72832561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 34.

The square root of 72832561 is about 8534.1994938014. The cubic root of 72832561 is about 417.6141387766.

The spelling of 72832561 in words is "seventy-two million, eight hundred thirty-two thousand, five hundred sixty-one".