72302386492561 has 9 divisors (see below), whose sum is σ = 74309642409681. Its totient is φ = 70347961827792.

The previous prime is 72302386492543. The next prime is 72302386492631. The reversal of 72302386492561 is 16529468320327.

It is a happy number.

The square root of 72302386492561 is 8503081.

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 45321426230161 + 26980960262400 = 6732119^2 + 5194320^2 .

It is not a de Polignac number, because 72302386492561 - 2¹³ = 72302386484369 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72302386492496 and 72302386492505.

It is not an unprimeable number, because it can be changed into a prime (72302386492541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 314499091 + ... + 314728903.

It is an arithmetic number, because the mean of its divisors is an integer number (8256626934409).

It is a 1-persistent number, because it is pandigital, but 2⋅72302386492561 = 144604772985122 is not.

Almost surely, 2^{72302386492561} is an apocalyptic number.

72302386492561 is the 8503081-st square number.

72302386492561 is the 4251541-st centered octagonal number.

It is an amenable number.

72302386492561 is a deficient number, since it is larger than the sum of its proper divisors (2007255917120).

72302386492561 is an frugal number, since it uses more digits than its factorization.

72302386492561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459700 (or 229850 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 58.

The spelling of 72302386492561 in words is "seventy-two trillion, three hundred two billion, three hundred eighty-six million, four hundred ninety-two thousand, five hundred sixty-one".