727416801 has 16 divisors (see below), whose sum is σ = 1078070400. Its totient is φ = 484757424.

The previous prime is 727416779. The next prime is 727416817. The reversal of 727416801 is 108614727.

It is not a de Polignac number, because 727416801 - 2¹⁵ = 727384033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (727416601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130075 + ... + 135551.

It is an arithmetic number, because the mean of its divisors is an integer number (67379400).

Almost surely, 2^727416801 is an apocalyptic number.

It is an amenable number.

727416801 is a deficient number, since it is larger than the sum of its proper divisors (350653599).

727416801 is a wasteful number, since it uses less digits than its factorization.

727416801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10405 (or 10399 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 727416801 is about 26970.6655646463. The cubic root of 727416801 is about 899.3480055621.

The spelling of 727416801 in words is "seven hundred twenty-seven million, four hundred sixteen thousand, eight hundred one".