72416243101277 has 2 divisors, whose sum is σ = 72416243101278. Its totient is φ = 72416243101276.

The previous prime is 72416243101261. The next prime is 72416243101313. The reversal of 72416243101277 is 77210134261427.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71698539315001 + 717703786276 = 8467499^2 + 847174^2 .

It is a cyclic number.

It is not a de Polignac number, because 72416243101277 - 2⁴ = 72416243101261 is a prime.

It is a super-2 number, since 2×72416243101277² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72416243101877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36208121550638 + 36208121550639.

It is an arithmetic number, because the mean of its divisors is an integer number (36208121550639).

Almost surely, 2^{72416243101277} is an apocalyptic number.

It is an amenable number.

72416243101277 is a deficient number, since it is larger than the sum of its proper divisors (1).

72416243101277 is an equidigital number, since it uses as much as digits as its factorization.

72416243101277 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 790272, while the sum is 47.

The spelling of 72416243101277 in words is "seventy-two trillion, four hundred sixteen billion, two hundred forty-three million, one hundred one thousand, two hundred seventy-seven".