27378432 has 144 divisors (see below), whose sum is σ = 86093280. Its totient is φ = 8552448.

The previous prime is 27378427. The next prime is 27378437. The reversal of 27378432 is 23487372.

It is an interprime number because it is at equal distance from previous prime (27378427) and next prime (27378437).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27378437) 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, 117388 + ... + 117620.

It is an arithmetic number, because the mean of its divisors is an integer number (597870).

Almost surely, 2^27378432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43046640).

27378432 is an abundant number, since it is smaller than the sum of its proper divisors (58714848).

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

27378432 is a wasteful number, since it uses less digits than its factorization.

27378432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 255 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 27378432 is about 5232.4403484416. The cubic root of 27378432 is about 301.3951022424.

The spelling of 27378432 in words is "twenty-seven million, three hundred seventy-eight thousand, four hundred thirty-two".