27872741 has 16 divisors (see below), whose sum is σ = 32886000. Its totient is φ = 23374848.

The previous prime is 27872731. The next prime is 27872759. The reversal of 27872741 is 14727872.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3330625 + 24542116 = 1825^2 + 4954^2 .

It is a cyclic number.

It is not a de Polignac number, because 27872741 - 2¹⁰ = 27871717 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 27872695 and 27872704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27872731) 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, 4235 + ... + 8583.

It is an arithmetic number, because the mean of its divisors is an integer number (2055375).

Almost surely, 2^27872741 is an apocalyptic number.

It is an amenable number.

27872741 is a deficient number, since it is larger than the sum of its proper divisors (5013259).

27872741 is a wasteful number, since it uses less digits than its factorization.

27872741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408.

The product of its digits is 43904, while the sum is 38.

The square root of 27872741 is about 5279.4640826508. The cubic root of 27872741 is about 303.1981588536.

The spelling of 27872741 in words is "twenty-seven million, eight hundred seventy-two thousand, seven hundred forty-one".