72437729 has 12 divisors (see below), whose sum is σ = 90746964. Its totient is φ = 57312864.

The previous prime is 72437713. The next prime is 72437779. The reversal of 72437729 is 92773427.

It can be written as a sum of positive squares in 2 ways, for example, as 34492129 + 37945600 = 5873^2 + 6160^2 .

It is not a de Polignac number, because 72437729 - 2⁴ = 72437713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72437779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56222 + ... + 57495.

It is an arithmetic number, because the mean of its divisors is an integer number (7562247).

Almost surely, 2^72437729 is an apocalyptic number.

It is an amenable number.

72437729 is a deficient number, since it is larger than the sum of its proper divisors (18309235).

72437729 is a wasteful number, since it uses less digits than its factorization.

72437729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113744 (or 113737 counting only the distinct ones).

The product of its digits is 148176, while the sum is 41.

The square root of 72437729 is about 8511.0357184070. The cubic root of 72437729 is about 416.8581294651.

The spelling of 72437729 in words is "seventy-two million, four hundred thirty-seven thousand, seven hundred twenty-nine".