41472816 has 160 divisors (see below), whose sum is σ = 136896000. Its totient is φ = 10725120.

The previous prime is 41472803. The next prime is 41472817. The reversal of 41472816 is 61827414.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41472817) 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, 180990 + ... + 181218.

It is an arithmetic number, because the mean of its divisors is an integer number (855600).

Almost surely, 2^41472816 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 41472816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68448000).

41472816 is an abundant number, since it is smaller than the sum of its proper divisors (95423184).

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

41472816 is a wasteful number, since it uses less digits than its factorization.

41472816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 41472816 is about 6439.9391301471. The cubic root of 41472816 is about 346.1421670665.

The spelling of 41472816 in words is "forty-one million, four hundred seventy-two thousand, eight hundred sixteen".