41972000 has 96 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 14380800.

The previous prime is 41971991. The next prime is 41972003. The reversal of 41972000 is 27914.

It is not an unprimeable number, because it can be changed into a prime (41972003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27251 + ... + 28749.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^41972000 is an apocalyptic number.

41972000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

41972000 is an abundant number, since it is smaller than the sum of its proper divisors (75964000).

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

41972000 is a wasteful number, since it uses less digits than its factorization.

41972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1513 counting only the distinct ones).

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

The square root of 41972000 is about 6478.5800913472. The cubic root of 41972000 is about 347.5254022802.

Adding to 41972000 its reverse (27914), we get a palindrome (41999914).

The spelling of 41972000 in words is "forty-one million, nine hundred seventy-two thousand".