72725161 has 2 divisors, whose sum is σ = 72725162. Its totient is φ = 72725160.

The previous prime is 72725137. The next prime is 72725183. The reversal of 72725161 is 16152727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45225625 + 27499536 = 6725^2 + 5244^2 .

It is a cyclic number.

It is not a de Polignac number, because 72725161 - 2⁷ = 72725033 is a prime.

It is not a weakly prime, because it can be changed into another prime (72725131) 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, 36362580 + 36362581.

It is an arithmetic number, because the mean of its divisors is an integer number (36362581).

Almost surely, 2^72725161 is an apocalyptic number.

It is an amenable number.

72725161 is a deficient number, since it is larger than the sum of its proper divisors (1).

72725161 is an equidigital number, since it uses as much as digits as its factorization.

72725161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5880, while the sum is 31.

The square root of 72725161 is about 8527.9048423396. The cubic root of 72725161 is about 417.4087644114.

Adding to 72725161 its reverse (16152727), we get a palindrome (88877888).

The spelling of 72725161 in words is "seventy-two million, seven hundred twenty-five thousand, one hundred sixty-one".