41295072 has 192 divisors, whose sum is σ = 138862080. Its totient is φ = 10450944.

The previous prime is 41295061. The next prime is 41295083. The reversal of 41295072 is 27059214.

It is an interprime number because it is at equal distance from previous prime (41295061) and next prime (41295083).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253263 + ... + 253425.

It is an arithmetic number, because the mean of its divisors is an integer number (723240).

Almost surely, 2^41295072 is an apocalyptic number.

41295072 is a gapful number since it is divisible by the number (42) 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 41295072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69431040).

41295072 is an abundant number, since it is smaller than the sum of its proper divisors (97567008).

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

41295072 is a wasteful number, since it uses less digits than its factorization.

41295072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 41295072 is about 6426.1241818066. The cubic root of 41295072 is about 345.6469607825.

The spelling of 41295072 in words is "forty-one million, two hundred ninety-five thousand, seventy-two".