72511729 has 2 divisors, whose sum is σ = 72511730. Its totient is φ = 72511728.

The previous prime is 72511727. The next prime is 72511763. The reversal of 72511729 is 92711527.

It is an a-pointer prime, because the next prime (72511763) can be obtained adding 72511729 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64400625 + 8111104 = 8025^2 + 2848^2 .

It is an emirp because it is prime and its reverse (92711527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72511729 - 2¹ = 72511727 is a prime.

Together with 72511727, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 72511694 and 72511703.

It is not a weakly prime, because it can be changed into another prime (72511723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36255864 + 36255865.

It is an arithmetic number, because the mean of its divisors is an integer number (36255865).

Almost surely, 2^72511729 is an apocalyptic number.

It is an amenable number.

72511729 is a deficient number, since it is larger than the sum of its proper divisors (1).

72511729 is an equidigital number, since it uses as much as digits as its factorization.

72511729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8820, while the sum is 34.

The square root of 72511729 is about 8515.3819057045. The cubic root of 72511729 is about 417.0000306709. Note that the first 4 decimals are identical.

The spelling of 72511729 in words is "seventy-two million, five hundred eleven thousand, seven hundred twenty-nine".