1766272 has 16 divisors (see below), whose sum is σ = 3519000. Its totient is φ = 883072.

The previous prime is 1766251. The next prime is 1766279. The reversal of 1766272 is 2726671.

It is a tau number, because it is divible by the number of its divisors (16).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1766279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6772 + ... + 7027.

2^1766272 is an apocalyptic number.

It is an amenable number.

1766272 is a deficient number, since it is larger than the sum of its proper divisors (1752728).

1766272 is an equidigital number, since it uses as much as digits as its factorization.

1766272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13813 (or 13801 counting only the distinct ones).

The product of its digits is 7056, while the sum is 31.

The square root of 1766272 is about 1329.0116628533. The cubic root of 1766272 is about 120.8794646953.

Subtracting from 1766272 its sum of digits (31), we obtain a square (1766241 = 1329²).

The spelling of 1766272 in words is "one million, seven hundred sixty-six thousand, two hundred seventy-two".