63286272 has 220 divisors, whose sum is σ = 217964560. Its totient is φ = 17915904.

The previous prime is 63286253. The next prime is 63286273. The reversal of 63286272 is 27268236.

63286272 is a `hidden beast` number, since 6 + 3 + 28 + 627 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (63286273) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 580554 + ... + 580662.

It is an arithmetic number, because the mean of its divisors is an integer number (990748).

Almost surely, 2^63286272 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 63286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108982280).

63286272 is an abundant number, since it is smaller than the sum of its proper divisors (154678288).

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

63286272 is a wasteful number, since it uses less digits than its factorization.

63286272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 63286272 is about 7955.2669345535. The cubic root of 63286272 is about 398.5075047376.

The spelling of 63286272 in words is "sixty-three million, two hundred eighty-six thousand, two hundred seventy-two".