83672 has 8 divisors (see below), whose sum is σ = 156900. Its totient is φ = 41832.

The previous prime is 83663. The next prime is 83689. The reversal of 83672 is 27638.

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as 8 + 3¹⁰ + 6⁵ + 7⁵ + 2⁵ .

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

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

83672 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 as a sum of consecutive naturals, namely, 5222 + ... + 5237.

2⁸³⁶⁷² is an apocalyptic number.

It is an amenable number.

83672 is a deficient number, since it is larger than the sum of its proper divisors (73228).

83672 is a wasteful number, since it uses less digits than its factorization.

83672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10465 (or 10461 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 83672 is about 289.2611277030. The cubic root of 83672 is about 43.7381137778.

The spelling of 83672 in words is "eighty-three thousand, six hundred seventy-two".