72523001953 has 2 divisors, whose sum is σ = 72523001954. Its totient is φ = 72523001952.

The previous prime is 72523001951. The next prime is 72523001981. The reversal of 72523001953 is 35910032527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65115301329 + 7407700624 = 255177^2 + 86068^2 .

It is a cyclic number.

It is not a de Polignac number, because 72523001953 - 2¹ = 72523001951 is a prime.

Together with 72523001951, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72523001951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36261500976 + 36261500977.

It is an arithmetic number, because the mean of its divisors is an integer number (36261500977).

Almost surely, 2^72523001953 is an apocalyptic number.

It is an amenable number.

72523001953 is a deficient number, since it is larger than the sum of its proper divisors (1).

72523001953 is an equidigital number, since it uses as much as digits as its factorization.

72523001953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56700, while the sum is 37.

The spelling of 72523001953 in words is "seventy-two billion, five hundred twenty-three million, one thousand, nine hundred fifty-three".