727920417 has 8 divisors (see below), whose sum is σ = 1109212096. Its totient is φ = 415954512.

The previous prime is 727920407. The next prime is 727920451. The reversal of 727920417 is 714029727.

727920417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 727920417 - 2⁷ = 727920289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (727920407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17331418 + ... + 17331459.

It is an arithmetic number, because the mean of its divisors is an integer number (138651512).

Almost surely, 2^727920417 is an apocalyptic number.

It is an amenable number.

727920417 is a deficient number, since it is larger than the sum of its proper divisors (381291679).

727920417 is a wasteful number, since it uses less digits than its factorization.

727920417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34662887.

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 727920417 is about 26980.0003150482. Note that the first 3 decimals coincide. The cubic root of 727920417 is about 899.5555076706. Note that the first 4 decimals are identical.

The spelling of 727920417 in words is "seven hundred twenty-seven million, nine hundred twenty thousand, four hundred seventeen".