72279233322053 has 2 divisors, whose sum is σ = 72279233322054. Its totient is φ = 72279233322052.

The previous prime is 72279233321951. The next prime is 72279233322059. The reversal of 72279233322053 is 35022333297227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43063230058564 + 29216003263489 = 6562258^2 + 5405183^2 .

It is a cyclic number.

It is not a de Polignac number, because 72279233322053 - 2²⁰ = 72279232273477 is a prime.

It is a super-2 number, since 2×72279233322053² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72279233321992 and 72279233322010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72279233322059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36139616661026 + 36139616661027.

It is an arithmetic number, because the mean of its divisors is an integer number (36139616661027).

Almost surely, 2^{72279233322053} is an apocalyptic number.

It is an amenable number.

72279233322053 is a deficient number, since it is larger than the sum of its proper divisors (1).

72279233322053 is an equidigital number, since it uses as much as digits as its factorization.

72279233322053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5715360, while the sum is 50.

The spelling of 72279233322053 in words is "seventy-two trillion, two hundred seventy-nine billion, two hundred thirty-three million, three hundred twenty-two thousand, fifty-three".