963072 has 120 divisors (see below), whose sum is σ = 3191760. Its totient is φ = 276480.

The previous prime is 963047. The next prime is 963097. The reversal of 963072 is 270369.

It is an interprime number because it is at equal distance from previous prime (963047) and next prime (963097).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is an unprimeable number.

963072 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50679 + ... + 50697.

It is an arithmetic number, because the mean of its divisors is an integer number (26598).

2⁹⁶³⁰⁷² 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 963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595880).

963072 is an abundant number, since it is smaller than the sum of its proper divisors (2228688).

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

963072 is a wasteful number, since it uses less digits than its factorization.

963072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 963072 is about 981.3623184125. The cubic root of 963072 is about 98.7535959808.

The spelling of 963072 in words is "nine hundred sixty-three thousand, seventy-two".