65311272 has 80 divisors (see below), whose sum is σ = 197029140. Its totient is φ = 20093184.

The previous prime is 65311261. The next prime is 65311273. The reversal of 65311272 is 27211356.

It is a happy number.

65311272 is a `hidden beast` number, since 6 + 531 + 127 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63584676 + 1726596 = 7974^2 + 1314^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (65311273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4548 + ... + 12300.

Almost surely, 2^65311272 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 65311272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98514570).

65311272 is an abundant number, since it is smaller than the sum of its proper divisors (131717868).

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

65311272 is a wasteful number, since it uses less digits than its factorization.

65311272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7784 (or 7771 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 65311272 is about 8081.5389623512. The cubic root of 65311272 is about 402.7133691183.

The spelling of 65311272 in words is "sixty-five million, three hundred eleven thousand, two hundred seventy-two".