41680772 has 36 divisors (see below), whose sum is σ = 87787980. Its totient is φ = 17244864.

The previous prime is 41680733. The next prime is 41680777. The reversal of 41680772 is 27708614.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7761796 + 33918976 = 2786^2 + 5824^2 .

It is not an unprimeable number, because it can be changed into a prime (41680777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2018 + ... + 9350.

It is an arithmetic number, because the mean of its divisors is an integer number (2438555).

Almost surely, 2^41680772 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 41680772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43893990).

41680772 is an abundant number, since it is smaller than the sum of its proper divisors (46107208).

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

41680772 is a wasteful number, since it uses less digits than its factorization.

41680772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7380 (or 7371 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 41680772 is about 6456.0647456481. The cubic root of 41680772 is about 346.7197531293.

The spelling of 41680772 in words is "forty-one million, six hundred eighty thousand, seven hundred seventy-two".