65078272 has 66 divisors (see below), whose sum is σ = 151449342. Its totient is φ = 27869184.

The previous prime is 65078257. The next prime is 65078281. The reversal of 65078272 is 27287056.

It can be written as a sum of positive squares in only one way, i.e., 65028096 + 50176 = 8064^2 + 224^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49528 + ... + 50824.

It is an arithmetic number, because the mean of its divisors is an integer number (2294687).

Almost surely, 2^65078272 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 65078272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75724671).

65078272 is an abundant number, since it is smaller than the sum of its proper divisors (86371070).

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

65078272 is a wasteful number, since it uses less digits than its factorization.

65078272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 65078272 is about 8067.1105112054. The cubic root of 65078272 is about 402.2339009912.

The spelling of 65078272 in words is "sixty-five million, seventy-eight thousand, two hundred seventy-two".