91672 has 16 divisors (see below), whose sum is σ = 196560. Its totient is φ = 39264.

The previous prime is 91639. The next prime is 91673. The reversal of 91672 is 27619.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91673) by changing a digit.

91672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 763 + ... + 874.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2⁹¹⁶⁷² is an apocalyptic number.

It is an amenable number.

91672 is an abundant number, since it is smaller than the sum of its proper divisors (104888).

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 (98280).

91672 is a wasteful number, since it uses less digits than its factorization.

91672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1646 counting only the distinct ones).

The product of its digits is 756, while the sum is 25.

The square root of 91672 is about 302.7738429918. The cubic root of 91672 is about 45.0898615860.

It can be divided in two parts, 9 and 1672, that added together give a square (1681 = 41²).

The spelling of 91672 in words is "ninety-one thousand, six hundred seventy-two".