1687272 has 32 divisors (see below), whose sum is σ = 4250400. Its totient is φ = 558144.

The previous prime is 1687247. The next prime is 1687289. The reversal of 1687272 is 2727861.

1687272 is a modest number, since divided by 7272 gives 168 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5343 + ... + 5649.

It is an arithmetic number, because the mean of its divisors is an integer number (132825).

2^1687272 is an apocalyptic number.

1687272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1687272 is an abundant number, since it is smaller than the sum of its proper divisors (2563128).

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

1687272 is a wasteful number, since it uses less digits than its factorization.

1687272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 1687272 is about 1298.9503454713. The cubic root of 1687272 is about 119.0497167681.

The spelling of 1687272 in words is "one million, six hundred eighty-seven thousand, two hundred seventy-two".