63686172 has 72 divisors (see below), whose sum is σ = 170529408. Its totient is φ = 18450080.

The previous prime is 63686171. The next prime is 63686173. The reversal of 63686172 is 27168636.

It is an interprime number because it is at equal distance from previous prime (63686171) and next prime (63686173).

It is a self number, because there is not a number n which added to its sum of digits gives 63686172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63686171) 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, 32443 + ... + 34349.

It is an arithmetic number, because the mean of its divisors is an integer number (2368464).

Almost surely, 2^63686172 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 63686172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85264704).

63686172 is an abundant number, since it is smaller than the sum of its proper divisors (106843236).

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

63686172 is a wasteful number, since it uses less digits than its factorization.

63686172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1946 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 63686172 is about 7980.3616459406. The cubic root of 63686172 is about 399.3451200825.

The spelling of 63686172 in words is "sixty-three million, six hundred eighty-six thousand, one hundred seventy-two".