41952872 has 64 divisors (see below), whose sum is σ = 91400400. Its totient is φ = 17879040.

The previous prime is 41952853. The next prime is 41952929. The reversal of 41952872 is 27825914.

It can be written as a sum of positive squares in 8 ways, for example, as 3587236 + 38365636 = 1894^2 + 6194^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107654 + ... + 108042.

Almost surely, 2^41952872 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 41952872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45700200).

41952872 is an abundant number, since it is smaller than the sum of its proper divisors (49447528).

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

41952872 is a wasteful number, since it uses less digits than its factorization.

41952872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 482 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 41952872 is about 6477.1036737110. The cubic root of 41952872 is about 347.4726013973.

It can be divided in two parts, 419528 and 72, that multiplied together give a square (30206016 = 5496²).

The spelling of 41952872 in words is "forty-one million, nine hundred fifty-two thousand, eight hundred seventy-two".