72122761 has 2 divisors, whose sum is σ = 72122762. Its totient is φ = 72122760.

The previous prime is 72122719. The next prime is 72122807. The reversal of 72122761 is 16722127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57153600 + 14969161 = 7560^2 + 3869^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72122761 is a prime.

It is not a weakly prime, because it can be changed into another prime (72122711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36061380 + 36061381.

It is an arithmetic number, because the mean of its divisors is an integer number (36061381).

Almost surely, 2^72122761 is an apocalyptic number.

It is an amenable number.

72122761 is a deficient number, since it is larger than the sum of its proper divisors (1).

72122761 is an equidigital number, since it uses as much as digits as its factorization.

72122761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2352, while the sum is 28.

The square root of 72122761 is about 8492.5120547456. The cubic root of 72122761 is about 416.2530684813.

Adding to 72122761 its reverse (16722127), we get a palindrome (88844888).

The spelling of 72122761 in words is "seventy-two million, one hundred twenty-two thousand, seven hundred sixty-one".