41972 has 12 divisors (see below), whose sum is σ = 84000. Its totient is φ = 17976.

The previous prime is 41969. The next prime is 41981. The reversal of 41972 is 27914.

41972 is an admirable number.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41972.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 722 + ... + 777.

It is an arithmetic number, because the mean of its divisors is an integer number (7000).

2⁴¹⁹⁷² is an apocalyptic number.

It is an amenable number.

41972 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (42000).

41972 is a wasteful number, since it uses less digits than its factorization.

41972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1508 counting only the distinct ones).

The product of its digits is 504, while the sum is 23.

The square root of 41972 is about 204.8706909248. The cubic root of 41972 is about 34.7525402280.

The spelling of 41972 in words is "forty-one thousand, nine hundred seventy-two".