41072664 has 64 divisors (see below), whose sum is σ = 110096640. Its totient is φ = 12735360.

The previous prime is 41072659. The next prime is 41072683. The reversal of 41072664 is 46627014.

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 15 ways as a sum of consecutive naturals, for example, 19419 + ... + 21429.

It is an arithmetic number, because the mean of its divisors is an integer number (1720260).

Almost surely, 2^41072664 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 41072664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55048320).

41072664 is an abundant number, since it is smaller than the sum of its proper divisors (69023976).

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

41072664 is a wasteful number, since it uses less digits than its factorization.

41072664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 41072664 is about 6408.7958307314. The cubic root of 41072664 is about 345.0253121525.

Adding to 41072664 its reverse (46627014), we get a palindrome (87699678).

It can be divided in two parts, 4107 and 2664, that multiplied together give a cube (10941048 = 222³).

The spelling of 41072664 in words is "forty-one million, seventy-two thousand, six hundred sixty-four".