727887090 has 64 divisors (see below), whose sum is σ = 2011806720. Its totient is φ = 165097920.

The previous prime is 727887089. The next prime is 727887091. The reversal of 727887090 is 90788727.

It is an interprime number because it is at equal distance from previous prime (727887089) and next prime (727887091).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (727887091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14281 + ... + 40739.

It is an arithmetic number, because the mean of its divisors is an integer number (31434480).

Almost surely, 2^727887090 is an apocalyptic number.

727887090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 727887090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005903360).

727887090 is an abundant number, since it is smaller than the sum of its proper divisors (1283919630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

727887090 is a wasteful number, since it uses less digits than its factorization.

727887090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26607.

The product of its (nonzero) digits is 395136, while the sum is 48.

The square root of 727887090 is about 26979.3826838199. The cubic root of 727887090 is about 899.5417790893.

The spelling of 727887090 in words is "seven hundred twenty-seven million, eight hundred eighty-seven thousand, ninety".