541872 has 60 divisors (see below), whose sum is σ = 1566864. Its totient is φ = 174720.

The previous prime is 541859. The next prime is 541889. The reversal of 541872 is 278145.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

541872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7597 + ... + 7667.

2⁵⁴¹⁸⁷² 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 541872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783432).

541872 is an abundant number, since it is smaller than the sum of its proper divisors (1024992).

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

541872 is a wasteful number, since it uses less digits than its factorization.

541872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 541872 is about 736.1195555071. The cubic root of 541872 is about 81.5265197799.

The spelling of 541872 in words is "five hundred forty-one thousand, eight hundred seventy-two".