72250572721 has 2 divisors, whose sum is σ = 72250572722. Its totient is φ = 72250572720.

The previous prime is 72250572701. The next prime is 72250572733. The reversal of 72250572721 is 12727505227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61373125696 + 10877447025 = 247736^2 + 104295^2 .

It is a cyclic number.

It is not a de Polignac number, because 72250572721 - 2⁷ = 72250572593 is a prime.

It is not a weakly prime, because it can be changed into another prime (72250572701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36125286360 + 36125286361.

It is an arithmetic number, because the mean of its divisors is an integer number (36125286361).

Almost surely, 2^72250572721 is an apocalyptic number.

It is an amenable number.

72250572721 is a deficient number, since it is larger than the sum of its proper divisors (1).

72250572721 is an equidigital number, since it uses as much as digits as its factorization.

72250572721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 137200, while the sum is 40.

The spelling of 72250572721 in words is "seventy-two billion, two hundred fifty million, five hundred seventy-two thousand, seven hundred twenty-one".