92672 has 20 divisors (see below), whose sum is σ = 186186. Its totient is φ = 46080.

The previous prime is 92671. The next prime is 92681. The reversal of 92672 is 27629.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 256 = 304^2 + 16^2 .

It is a zygodrome in base 4.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92672.

It is not an unprimeable number, because it can be changed into a prime (92671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 422 + ... + 602.

2⁹²⁶⁷² 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 92672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93093).

92672 is an abundant number, since it is smaller than the sum of its proper divisors (93514).

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

92672 is an equidigital number, since it uses as much as digits as its factorization.

92672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 92672 is about 304.4207614470. The cubic root of 92672 is about 45.2532226066.

The spelling of 92672 in words is "ninety-two thousand, six hundred seventy-two".