966072 has 16 divisors (see below), whose sum is σ = 2415240. Its totient is φ = 322016.

The previous prime is 966041. The next prime is 966109. The reversal of 966072 is 270669.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 966072.

It is an unprimeable number.

966072 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 20103 + ... + 20150.

2⁹⁶⁶⁰⁷² is an apocalyptic number.

It is an amenable number.

966072 is an abundant number, since it is smaller than the sum of its proper divisors (1449168).

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

966072 is a wasteful number, since it uses less digits than its factorization.

966072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40262 (or 40258 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 966072 is about 982.8896174037. The cubic root of 966072 is about 98.8560298932.

The spelling of 966072 in words is "nine hundred sixty-six thousand, seventy-two".