63672 has 32 divisors (see below), whose sum is σ = 182400. Its totient is φ = 18144.

The previous prime is 63671. The next prime is 63689. The reversal of 63672 is 27636.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 357.

It is an arithmetic number, because the mean of its divisors is an integer number (5700).

2⁶³⁶⁷² 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 63672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91200).

63672 is an abundant number, since it is smaller than the sum of its proper divisors (118728).

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

63672 is a wasteful number, since it uses less digits than its factorization.

63672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 63672 is about 252.3331131659. Note that the first 3 decimals coincide. The cubic root of 63672 is about 39.9315495970.

The spelling of 63672 in words is "sixty-three thousand, six hundred seventy-two".