1627272 has 48 divisors (see below), whose sum is σ = 4471740. Its totient is φ = 534528.

The previous prime is 1627267. The next prime is 1627309. The reversal of 1627272 is 2727261.

It can be written as a sum of positive squares in 2 ways, for example, as 1572516 + 54756 = 1254^2 + 234^2 .

It is a plaindrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6868 + ... + 7100.

2^1627272 is an apocalyptic number.

1627272 is a gapful number since it is divisible by the number (12) 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 1627272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235870).

1627272 is an abundant number, since it is smaller than the sum of its proper divisors (2844468).

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

1627272 is a wasteful number, since it uses less digits than its factorization.

1627272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 335 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 1627272 is about 1275.6457188420. The cubic root of 1627272 is about 117.6215009972.

The spelling of 1627272 in words is "one million, six hundred twenty-seven thousand, two hundred seventy-two".