65472768 has 108 divisors (see below), whose sum is σ = 191026108. Its totient is φ = 21565440.

The previous prime is 65472733. The next prime is 65472811. The reversal of 65472768 is 86727456.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 58247424 = 2688^2 + 7632^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (564480) is a multiple of the sum of its prime factors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361638 + ... + 361818.

Almost surely, 2^65472768 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 65472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95513054).

65472768 is an abundant number, since it is smaller than the sum of its proper divisors (125553340).

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

65472768 is a wasteful number, since it uses less digits than its factorization.

65472768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 65472768 is about 8091.5244546377. The cubic root of 65472768 is about 403.0450273665.

The spelling of 65472768 in words is "sixty-five million, four hundred seventy-two thousand, seven hundred sixty-eight".