961272 has 72 divisors (see below), whose sum is σ = 2854800. Its totient is φ = 292032.

The previous prime is 961243. The next prime is 961273. The reversal of 961272 is 272169.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961273) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12129 + ... + 12207.

It is an arithmetic number, because the mean of its divisors is an integer number (39650).

2⁹⁶¹²⁷² 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 961272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427400).

961272 is an abundant number, since it is smaller than the sum of its proper divisors (1893528).

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

961272 is a wasteful number, since it uses less digits than its factorization.

961272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 97 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 961272 is about 980.4447970182. Note that the first 3 decimals coincide. The cubic root of 961272 is about 98.6920334907.

The spelling of 961272 in words is "nine hundred sixty-one thousand, two hundred seventy-two".