72753471509 has 2 divisors, whose sum is σ = 72753471510. Its totient is φ = 72753471508.

The previous prime is 72753471493. The next prime is 72753471523. The reversal of 72753471509 is 90517435727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65180643025 + 7572828484 = 255305^2 + 87022^2 .

It is a cyclic number.

It is not a de Polignac number, because 72753471509 - 2⁴ = 72753471493 is a prime.

It is a super-2 number, since 2×72753471509² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72753471559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36376735754 + 36376735755.

It is an arithmetic number, because the mean of its divisors is an integer number (36376735755).

Almost surely, 2^72753471509 is an apocalyptic number.

It is an amenable number.

72753471509 is a deficient number, since it is larger than the sum of its proper divisors (1).

72753471509 is an equidigital number, since it uses as much as digits as its factorization.

72753471509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1852200, while the sum is 50.

The spelling of 72753471509 in words is "seventy-two billion, seven hundred fifty-three million, four hundred seventy-one thousand, five hundred nine".