72605149 has 2 divisors, whose sum is σ = 72605150. Its totient is φ = 72605148.

The previous prime is 72605123. The next prime is 72605161. The reversal of 72605149 is 94150627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38007225 + 34597924 = 6165^2 + 5882^2 .

It is a cyclic number.

It is not a de Polignac number, because 72605149 - 2¹¹ = 72603101 is a prime.

It is a super-2 number, since 2×72605149² = 10543015322624402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72605119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36302574 + 36302575.

It is an arithmetic number, because the mean of its divisors is an integer number (36302575).

Almost surely, 2^72605149 is an apocalyptic number.

It is an amenable number.

72605149 is a deficient number, since it is larger than the sum of its proper divisors (1).

72605149 is an equidigital number, since it uses as much as digits as its factorization.

72605149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 72605149 is about 8520.8655076817. The cubic root of 72605149 is about 417.1790335519.

The spelling of 72605149 in words is "seventy-two million, six hundred five thousand, one hundred forty-nine".