72473817953 has 2 divisors, whose sum is σ = 72473817954. Its totient is φ = 72473817952.

The previous prime is 72473817917. The next prime is 72473817967. The reversal of 72473817953 is 35971837427.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72365304064 + 108513889 = 269008^2 + 10417^2 .

It is an emirp because it is prime and its reverse (35971837427) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72473817953 - 2³⁰ = 71400076129 is a prime.

It is a super-2 number, since 2×72473817953² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72473810953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36236908976 + 36236908977.

It is an arithmetic number, because the mean of its divisors is an integer number (36236908977).

Almost surely, 2^72473817953 is an apocalyptic number.

It is an amenable number.

72473817953 is a deficient number, since it is larger than the sum of its proper divisors (1).

72473817953 is an equidigital number, since it uses as much as digits as its factorization.

72473817953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8890560, while the sum is 56.

The spelling of 72473817953 in words is "seventy-two billion, four hundred seventy-three million, eight hundred seventeen thousand, nine hundred fifty-three".