1968272 has 10 divisors (see below), whose sum is σ = 3813558. Its totient is φ = 984128.

The previous prime is 1968269. The next prime is 1968293. The reversal of 1968272 is 2728691.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1752976 + 215296 = 1324^2 + 464^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61493 + ... + 61524.

2^1968272 is an apocalyptic number.

It is an amenable number.

1968272 is a deficient number, since it is larger than the sum of its proper divisors (1845286).

1968272 is a wasteful number, since it uses less digits than its factorization.

1968272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123025 (or 123019 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 1968272 is about 1402.9511752018. The cubic root of 1968272 is about 125.3223042455.

The spelling of 1968272 in words is "one million, nine hundred sixty-eight thousand, two hundred seventy-two".