27200256 has 72 divisors (see below), whose sum is σ = 73289664. Its totient is φ = 8954880.

The previous prime is 27200233. The next prime is 27200273. The reversal of 27200256 is 65200272.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82011 + ... + 82341.

It is an arithmetic number, because the mean of its divisors is an integer number (1017912).

Almost surely, 2^27200256 is an apocalyptic number.

27200256 is the 3299-th centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27200256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36644832).

27200256 is an abundant number, since it is smaller than the sum of its proper divisors (46089408).

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

27200256 is a wasteful number, since it uses less digits than its factorization.

27200256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 27200256 is about 5215.3864669840. The cubic root of 27200256 is about 300.7398627327.

The spelling of 27200256 in words is "twenty-seven million, two hundred thousand, two hundred fifty-six".