965152272 has 240 divisors, whose sum is σ = 3076529280. Its totient is φ = 255301632.

The previous prime is 965152261. The next prime is 965152283. The reversal of 965152272 is 272251569.

It is an interprime number because it is at equal distance from previous prime (965152261) and next prime (965152283).

It is a self number, because there is not a number n which added to its sum of digits gives 965152272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8854554 + ... + 8854662.

It is an arithmetic number, because the mean of its divisors is an integer number (12818872).

Almost surely, 2^965152272 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 965152272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538264640).

965152272 is an abundant number, since it is smaller than the sum of its proper divisors (2111377008).

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

965152272 is a wasteful number, since it uses less digits than its factorization.

965152272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 965152272 is about 31066.8999418996. The cubic root of 965152272 is about 988.2464868247.

The spelling of 965152272 in words is "nine hundred sixty-five million, one hundred fifty-two thousand, two hundred seventy-two".