72662134416281 has 2 divisors, whose sum is σ = 72662134416282. Its totient is φ = 72662134416280.

The previous prime is 72662134416241. The next prime is 72662134416457. The reversal of 72662134416281 is 18261443126627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72660127376281 + 2007040000 = 8524091^2 + 44800^2 .

It is a cyclic number.

It is not a de Polignac number, because 72662134416281 - 2³⁴ = 72644954547097 is a prime.

It is a super-2 number, since 2×72662134416281² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72662134416241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36331067208140 + 36331067208141.

It is an arithmetic number, because the mean of its divisors is an integer number (36331067208141).

Almost surely, 2^{72662134416281} is an apocalyptic number.

It is an amenable number.

72662134416281 is a deficient number, since it is larger than the sum of its proper divisors (1).

72662134416281 is an equidigital number, since it uses as much as digits as its factorization.

72662134416281 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4644864, while the sum is 53.

The spelling of 72662134416281 in words is "seventy-two trillion, six hundred sixty-two billion, one hundred thirty-four million, four hundred sixteen thousand, two hundred eighty-one".