1966272 has 168 divisors, whose sum is σ = 6949440. Its totient is φ = 483840.

The previous prime is 1966259. The next prime is 1966297. The reversal of 1966272 is 2726691.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (9072) is a multiple of the sum of its prime divisors (42).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103479 + ... + 103497.

2^1966272 is an apocalyptic number.

1966272 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 1966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474720).

1966272 is an abundant number, since it is smaller than the sum of its proper divisors (4983168).

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

1966272 is a wasteful number, since it uses less digits than its factorization.

1966272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 42 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 1966272 is about 1402.2382108615. The cubic root of 1966272 is about 125.2798423718.

The spelling of 1966272 in words is "one million, nine hundred sixty-six thousand, two hundred seventy-two".