72505061 has 2 divisors, whose sum is σ = 72505062. Its totient is φ = 72505060.

The previous prime is 72505057. The next prime is 72505073. The reversal of 72505061 is 16050527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70040161 + 2464900 = 8369^2 + 1570^2 .

It is a cyclic number.

It is not a de Polignac number, because 72505061 - 2² = 72505057 is a prime.

It is a super-2 number, since 2×72505061² = 10513967741227442, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72505061.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72505021) 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, 36252530 + 36252531.

It is an arithmetic number, because the mean of its divisors is an integer number (36252531).

Almost surely, 2^72505061 is an apocalyptic number.

It is an amenable number.

72505061 is a deficient number, since it is larger than the sum of its proper divisors (1).

72505061 is an equidigital number, since it uses as much as digits as its factorization.

72505061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 72505061 is about 8514.9903699300. The cubic root of 72505061 is about 416.9872481805.

Adding to 72505061 its reverse (16050527), we get a palindrome (88555588).

The spelling of 72505061 in words is "seventy-two million, five hundred five thousand, sixty-one".