63754272 has 144 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 19699200.

The previous prime is 63754217. The next prime is 63754277. The reversal of 63754272 is 27245736.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63754277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333697 + ... + 333887.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^63754272 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 63754272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

63754272 is an abundant number, since it is smaller than the sum of its proper divisors (131233248).

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

63754272 is a wasteful number, since it uses less digits than its factorization.

63754272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 63754272 is about 7984.6272298712. The cubic root of 63754272 is about 399.4874100762.

The spelling of 63754272 in words is "sixty-three million, seven hundred fifty-four thousand, two hundred seventy-two".