27742224 has 40 divisors (see below), whose sum is σ = 73339552. Its totient is φ = 9031680.

The previous prime is 27742219. The next prime is 27742229. The reversal of 27742224 is 42224772.

It is an interprime number because it is at equal distance from previous prime (27742219) and next prime (27742229).

It is a junction number, because it is equal to n+sod(n) for n = 27742191 and 27742200.

It is not an unprimeable number, because it can be changed into a prime (27742229) 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, 4657 + ... + 8784.

Almost surely, 2^27742224 is an apocalyptic number.

27742224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27742224 is an abundant number, since it is smaller than the sum of its proper divisors (45597328).

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

27742224 is a wasteful number, since it uses less digits than its factorization.

27742224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13495 (or 13489 counting only the distinct ones).

The product of its digits is 12544, while the sum is 30.

The square root of 27742224 is about 5267.0887594572. The cubic root of 27742224 is about 302.7241659687.

Adding to 27742224 its reverse (42224772), we get a palindrome (69966996).

It can be divided in two parts, 27742 and 224, that added together give a triangular number (27966 = T₂₃₆).

The spelling of 27742224 in words is "twenty-seven million, seven hundred forty-two thousand, two hundred twenty-four".