63367272 has 40 divisors (see below), whose sum is σ = 177488850. Its totient is φ = 21122208.

The previous prime is 63367229. The next prime is 63367289. The reversal of 63367272 is 27276336.

63367272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 53670276 + 9696996 = 7326^2 + 3114^2 .

It is a super-3 number, since 3×63367272³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

63367272 is a modest number, since divided by 7272 gives 6336 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 48247 + ... + 49542.

Almost surely, 2^63367272 is an apocalyptic number.

It is an amenable number.

63367272 is an abundant number, since it is smaller than the sum of its proper divisors (114121578).

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

63367272 is a wasteful number, since it uses less digits than its factorization.

63367272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97807 (or 97794 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 63367272 is about 7960.3562734340. The cubic root of 63367272 is about 398.6774486308.

The spelling of 63367272 in words is "sixty-three million, three hundred sixty-seven thousand, two hundred seventy-two".