27422472 has 192 divisors, whose sum is σ = 91929600. Its totient is φ = 6652800.

The previous prime is 27422467. The next prime is 27422477.

27422472 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (27422467) and next prime (27422477).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (12544) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (27422477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386197 + ... + 386267.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 2^27422472 is an apocalyptic number.

27422472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27422472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

27422472 is an abundant number, since it is smaller than the sum of its proper divisors (64507128).

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

27422472 is a wasteful number, since it uses less digits than its factorization.

27422472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

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

The square root of 27422472 is about 5236.6470188471. The cubic root of 27422472 is about 301.5566202528.

The spelling of 27422472 in words is "twenty-seven million, four hundred twenty-two thousand, four hundred seventy-two".