63412272 has 360 divisors, whose sum is σ = 242573760. Its totient is φ = 15240960.

The previous prime is 63412213. The next prime is 63412277. The reversal of 63412272 is 27221436.

63412272 is a `hidden beast` number, since 634 + 1 + 2 + 27 + 2 = 666.

It is a super-2 number, since 2×63412272² = 8042232480403968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (63412277) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1474683 + ... + 1474725.

It is an arithmetic number, because the mean of its divisors is an integer number (673816).

Almost surely, 2^63412272 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 63412272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121286880).

63412272 is an abundant number, since it is smaller than the sum of its proper divisors (179161488).

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

63412272 is a wasteful number, since it uses less digits than its factorization.

63412272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 63412272 is about 7963.1822784613. The cubic root of 63412272 is about 398.7717993343.

The spelling of 63412272 in words is "sixty-three million, four hundred twelve thousand, two hundred seventy-two".