67632 has 20 divisors (see below), whose sum is σ = 174840. Its totient is φ = 22528.

The previous prime is 67631. The next prime is 67651. The reversal of 67632 is 23676.

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

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

It is not an unprimeable number, because it can be changed into a prime (67631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 657 + ... + 752.

It is an arithmetic number, because the mean of its divisors is an integer number (8742).

2⁶⁷⁶³² is an apocalyptic number.

It is an amenable number.

67632 is an abundant number, since it is smaller than the sum of its proper divisors (107208).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87420).

67632 is a wasteful number, since it uses less digits than its factorization.

67632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1414 counting only the distinct ones).

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

The square root of 67632 is about 260.0615311806. The cubic root of 67632 is about 40.7427879392.

Subtracting from 67632 its reverse (23676), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 67632 in words is "sixty-seven thousand, six hundred thirty-two".