41272000 has 224 divisors, whose sum is σ = 129332736. Its totient is φ = 12672000.

The previous prime is 41271991. The next prime is 41272013. The reversal of 41272000 is 27214.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615967 + ... + 616033.

Almost surely, 2^41272000 is an apocalyptic number.

41272000 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 41272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64666368).

41272000 is an abundant number, since it is smaller than the sum of its proper divisors (88060736).

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

41272000 is a wasteful number, since it uses less digits than its factorization.

41272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 41272000 is about 6424.3287587109. The cubic root of 41272000 is about 345.5825765679.

Adding to 41272000 its reverse (27214), we get a palindrome (41299214).

The spelling of 41272000 in words is "forty-one million, two hundred seventy-two thousand".