27725256 has 96 divisors (see below), whose sum is σ = 85176000. Its totient is φ = 8076672.

The previous prime is 27725179. The next prime is 27725263. The reversal of 27725256 is 65252772.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27725256.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17005 + ... + 18563.

It is an arithmetic number, because the mean of its divisors is an integer number (887250).

Almost surely, 2^27725256 is an apocalyptic number.

27725256 is a gapful number since it is divisible by the number (26) 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 27725256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42588000).

27725256 is an abundant number, since it is smaller than the sum of its proper divisors (57450744).

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

27725256 is a wasteful number, since it uses less digits than its factorization.

27725256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1596 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 27725256 is about 5265.4777561015. The cubic root of 27725256 is about 302.6624349019.

The spelling of 27725256 in words is "twenty-seven million, seven hundred twenty-five thousand, two hundred fifty-six".