72042841 has 12 divisors (see below), whose sum is σ = 78561900. Its totient is φ = 66031680.

The previous prime is 72042833. The next prime is 72042857. The reversal of 72042841 is 14824027.

It can be written as a sum of positive squares in 6 ways, for example, as 21576025 + 50466816 = 4645^2 + 7104^2 .

It is not a de Polignac number, because 72042841 - 2³ = 72042833 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72042881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23751 + ... + 26611.

It is an arithmetic number, because the mean of its divisors is an integer number (6546825).

Almost surely, 2^72042841 is an apocalyptic number.

It is an amenable number.

72042841 is a deficient number, since it is larger than the sum of its proper divisors (6519059).

72042841 is a wasteful number, since it uses less digits than its factorization.

72042841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 72042841 is about 8487.8054289669. The cubic root of 72042841 is about 416.0992601682.

Adding to 72042841 its reverse (14824027), we get a palindrome (86866868).

The spelling of 72042841 in words is "seventy-two million, forty-two thousand, eight hundred forty-one".