40192 has 18 divisors (see below), whose sum is σ = 80738. Its totient is φ = 19968.

The previous prime is 40189. The next prime is 40193. The reversal of 40192 is 29104.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 9216 = 176^2 + 96^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40193) 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, 178 + ... + 334.

2⁴⁰¹⁹² 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 40192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40369).

40192 is an abundant number, since it is smaller than the sum of its proper divisors (40546).

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

40192 is an equidigital number, since it uses as much as digits as its factorization.

40192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 40192 is about 200.4794253783. The cubic root of 40192 is about 34.2541508458.

Adding to 40192 its reverse (29104), we get a palindrome (69296).

It can be divided in two parts, 40 and 192, that added together give a palindrome (232).

The spelling of 40192 in words is "forty thousand, one hundred ninety-two".