72016141 has 2 divisors, whose sum is σ = 72016142. Its totient is φ = 72016140.

The previous prime is 72016129. The next prime is 72016159. The reversal of 72016141 is 14161027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36554116 + 35462025 = 6046^2 + 5955^2 .

It is an emirp because it is prime and its reverse (14161027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72016141 - 2²³ = 63627533 is a prime.

It is a super-3 number, since 3×72016141³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72016111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36008070 + 36008071.

It is an arithmetic number, because the mean of its divisors is an integer number (36008071).

Almost surely, 2^72016141 is an apocalyptic number.

It is an amenable number.

72016141 is a deficient number, since it is larger than the sum of its proper divisors (1).

72016141 is an equidigital number, since it uses as much as digits as its factorization.

72016141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 72016141 is about 8486.2324384853. The cubic root of 72016141 is about 416.0478499107.

Adding to 72016141 its reverse (14161027), we get a palindrome (86177168).

It can be divided in two parts, 720 and 16141, that added together give a palindrome (16861).

The spelling of 72016141 in words is "seventy-two million, sixteen thousand, one hundred forty-one".