72146863832761 has 27 divisors (see below), whose sum is σ = 80889523888269. Its totient is φ = 64326645957888.

The previous prime is 72146863832753. The next prime is 72146863832773. The reversal of 72146863832761 is 16723836864127.

The square root of 72146863832761 is 8493931.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5112035082361 + 67034828750400 = 2260981^2 + 8187480^2 .

It is not a de Polignac number, because 72146863832761 - 2³ = 72146863832753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72146863832693 and 72146863832702.

It is not an unprimeable number, because it can be changed into a prime (72146863838761) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2743526565 + ... + 2743552861.

Almost surely, 2^{72146863832761} is an apocalyptic number.

72146863832761 is the 8493931-st square number.

72146863832761 is the 4246966-th centered octagonal number.

It is an amenable number.

72146863832761 is a deficient number, since it is larger than the sum of its proper divisors (8742660055508).

72146863832761 is an frugal number, since it uses more digits than its factorization.

72146863832761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52666 (or 26333 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 64.

The spelling of 72146863832761 in words is "seventy-two trillion, one hundred forty-six billion, eight hundred sixty-three million, eight hundred thirty-two thousand, seven hundred sixty-one".