1663272 has 48 divisors (see below), whose sum is σ = 4853940. Its totient is φ = 511488.

The previous prime is 1663267. The next prime is 1663273. The reversal of 1663272 is 2723661.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1602756 + 60516 = 1266^2 + 246^2 .

It is not an unprimeable number, because it can be changed into a prime (1663273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48 + ... + 1824.

2^1663272 is an apocalyptic number.

1663272 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 1663272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426970).

1663272 is an abundant number, since it is smaller than the sum of its proper divisors (3190668).

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

1663272 is a wasteful number, since it uses less digits than its factorization.

1663272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1795 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 1663272 is about 1289.6790298365. The cubic root of 1663272 is about 118.4825589884.

The spelling of 1663272 in words is "one million, six hundred sixty-three thousand, two hundred seventy-two".