727016821 has 16 divisors (see below), whose sum is σ = 787968000. Its totient is φ = 669017008.

The previous prime is 727016809. The next prime is 727016827. The reversal of 727016821 is 128610727.

It is a happy number.

It is not a de Polignac number, because 727016821 - 2¹⁵ = 726984053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727016827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58080 + ... + 69478.

It is an arithmetic number, because the mean of its divisors is an integer number (49248000).

Almost surely, 2^727016821 is an apocalyptic number.

It is an amenable number.

727016821 is a deficient number, since it is larger than the sum of its proper divisors (60951179).

727016821 is a wasteful number, since it uses less digits than its factorization.

727016821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11528.

The product of its (nonzero) digits is 9408, while the sum is 34.

The square root of 727016821 is about 26963.2494518001. The cubic root of 727016821 is about 899.1831357711.

The spelling of 727016821 in words is "seven hundred twenty-seven million, sixteen thousand, eight hundred twenty-one".