41442072 has 128 divisors (see below), whose sum is σ = 124761600. Its totient is φ = 11225088.

The previous prime is 41442053. The next prime is 41442077. The reversal of 41442072 is 27024414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41442077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366688 + ... + 366800.

It is an arithmetic number, because the mean of its divisors is an integer number (974700).

Almost surely, 2^41442072 is an apocalyptic number.

41442072 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 41442072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62380800).

41442072 is an abundant number, since it is smaller than the sum of its proper divisors (83319528).

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

41442072 is a wasteful number, since it uses less digits than its factorization.

41442072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 41442072 is about 6437.5517085302. The cubic root of 41442072 is about 346.0566136326.

Adding to 41442072 its reverse (27024414), we get a palindrome (68466486).

It can be divided in two parts, 4144 and 2072, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 41442072 in words is "forty-one million, four hundred forty-two thousand, seventy-two".