41877072 has 90 divisors (see below), whose sum is σ = 120820206. Its totient is φ = 13539840.

The previous prime is 41877071. The next prime is 41877119. The reversal of 41877072 is 27077814.

It can be written as a sum of positive squares in 3 ways, for example, as 197136 + 41679936 = 444^2 + 6456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41877071) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 241978 + ... + 242150.

Almost surely, 2^41877072 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 41877072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60410103).

41877072 is an abundant number, since it is smaller than the sum of its proper divisors (78943134).

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

41877072 is a wasteful number, since it uses less digits than its factorization.

41877072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 41877072 is about 6471.2496474792. The cubic root of 41877072 is about 347.2632053096.

The spelling of 41877072 in words is "forty-one million, eight hundred seventy-seven thousand, seventy-two".