72106729 has 4 divisors (see below), whose sum is σ = 75901840. Its totient is φ = 68311620.

The previous prime is 72106721. The next prime is 72106733. The reversal of 72106729 is 92760127.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72106729 - 2³ = 72106721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72106694 and 72106703.

It is not an unprimeable number, because it can be changed into a prime (72106721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1897527 + ... + 1897564.

It is an arithmetic number, because the mean of its divisors is an integer number (18975460).

Almost surely, 2^72106729 is an apocalyptic number.

It is an amenable number.

72106729 is a deficient number, since it is larger than the sum of its proper divisors (3795111).

72106729 is a wasteful number, since it uses less digits than its factorization.

72106729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795110.

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 72106729 is about 8491.5681119567. The cubic root of 72106729 is about 416.2222235551. Note that the first 5 decimals are identical.

The spelling of 72106729 in words is "seventy-two million, one hundred six thousand, seven hundred twenty-nine".