967272 has 32 divisors (see below), whose sum is σ = 2479680. Its totient is φ = 314240.

The previous prime is 967261. The next prime is 967289. The reversal of 967272 is 272769.

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

967272 is a modest number, since divided by 7272 gives 96 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493 + ... + 1475.

It is an arithmetic number, because the mean of its divisors is an integer number (77490).

2⁹⁶⁷²⁷² is an apocalyptic number.

It is a pronic number, being equal to 983×984.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239840).

967272 is an abundant number, since it is smaller than the sum of its proper divisors (1512408).

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

967272 is a wasteful number, since it uses less digits than its factorization.

967272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1029 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 967272 is about 983.4998729029. The cubic root of 967272 is about 98.8969440805.

The spelling of 967272 in words is "nine hundred sixty-seven thousand, two hundred seventy-two".