961729162272 has 54 divisors (see below), whose sum is σ = 2734964633583. Its totient is φ = 320570839872.

The previous prime is 961729162259. The next prime is 961729162279. The reversal of 961729162272 is 272261927169.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

961729162272 is a `hidden beast` number, since 9 + 6 + 1 + 7 + 2 + 9 + 1 + 622 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 480864581136 + 480864581136 = 693444^2 + 693444^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=693444.

It is not an unprimeable number, because it can be changed into a prime (961729162279) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16613763 + ... + 16671549.

Almost surely, 2^961729162272 is an apocalyptic number.

It is an amenable number.

961729162272 is an abundant number, since it is smaller than the sum of its proper divisors (1773235471311).

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

961729162272 is an frugal number, since it uses more digits than its factorization.

961729162272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115590 (or 57792 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 961729162272 in words is "nine hundred sixty-one billion, seven hundred twenty-nine million, one hundred sixty-two thousand, two hundred seventy-two".