73632 has 48 divisors (see below), whose sum is σ = 211680. Its totient is φ = 22272.

The previous prime is 73613. The next prime is 73637. The reversal of 73632 is 23637.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 73599 and 73608.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73632.

It is not an unprimeable number, because it can be changed into a prime (73637) by changing a digit.

73632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1219 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2⁷³⁶³² 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 73632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

73632 is an abundant number, since it is smaller than the sum of its proper divisors (138048).

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

73632 is a wasteful number, since it uses less digits than its factorization.

73632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 77 counting only the distinct ones).

The product of its digits is 756, while the sum is 21.

The square root of 73632 is about 271.3521696983. The cubic root of 73632 is about 41.9136548095.

The spelling of 73632 in words is "seventy-three thousand, six hundred thirty-two".