968072 has 32 divisors (see below), whose sum is σ = 2116800. Its totient is φ = 406464.

The previous prime is 968063. The next prime is 968089. The reversal of 968072 is 270869.

It is an unprimeable number.

968072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3158 + ... + 3450.

It is an arithmetic number, because the mean of its divisors is an integer number (66150).

2⁹⁶⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058400).

968072 is an abundant number, since it is smaller than the sum of its proper divisors (1148728).

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

968072 is a wasteful number, since it uses less digits than its factorization.

968072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 968072 is about 983.9064996228. The cubic root of 968072 is about 98.9242014095.

The spelling of 968072 in words is "nine hundred sixty-eight thousand, seventy-two".