72605161 has 2 divisors, whose sum is σ = 72605162. Its totient is φ = 72605160.

The previous prime is 72605149. The next prime is 72605173. The reversal of 72605161 is 16150627.

It is a balanced prime because it is at equal distance from previous prime (72605149) and next prime (72605173).

It can be written as a sum of positive squares in only one way, i.e., 42968025 + 29637136 = 6555^2 + 5444^2 .

It is a cyclic number.

It is not a de Polignac number, because 72605161 - 2⁷ = 72605033 is a prime.

It is not a weakly prime, because it can be changed into another prime (72605101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36302580 + 36302581.

It is an arithmetic number, because the mean of its divisors is an integer number (36302581).

Almost surely, 2^72605161 is an apocalyptic number.

It is an amenable number.

72605161 is a deficient number, since it is larger than the sum of its proper divisors (1).

72605161 is an equidigital number, since it uses as much as digits as its factorization.

72605161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 72605161 is about 8520.8662118355. The cubic root of 72605161 is about 417.1790565354.

Adding to 72605161 its reverse (16150627), we get a palindrome (88755788).

It can be divided in two parts, 7260 and 5161, that added together give a palindrome (12421).

The spelling of 72605161 in words is "seventy-two million, six hundred five thousand, one hundred sixty-one".