72351729 has 6 divisors (see below), whose sum is σ = 104508066. Its totient is φ = 48234480.

The previous prime is 72351709. The next prime is 72351733. The reversal of 72351729 is 92715327.

It can be written as a sum of positive squares in only one way, i.e., 50979600 + 21372129 = 7140^2 + 4623^2 .

It is not a de Polignac number, because 72351729 - 2¹⁷ = 72220657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72351693 and 72351702.

It is not an unprimeable number, because it can be changed into a prime (72351709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4019532 + ... + 4019549.

It is an arithmetic number, because the mean of its divisors is an integer number (17418011).

Almost surely, 2^72351729 is an apocalyptic number.

It is an amenable number.

72351729 is a deficient number, since it is larger than the sum of its proper divisors (32156337).

72351729 is a wasteful number, since it uses less digits than its factorization.

72351729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8039087 (or 8039084 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 72351729 is about 8505.9819538957. The cubic root of 72351729 is about 416.6930957813.

The spelling of 72351729 in words is "seventy-two million, three hundred fifty-one thousand, seven hundred twenty-nine".