72042741 has 24 divisors (see below), whose sum is σ = 107279640. Its totient is φ = 46565376.

The previous prime is 72042731. The next prime is 72042743. The reversal of 72042741 is 14724027.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25462116 + 46580625 = 5046^2 + 6825^2 .

It is not a de Polignac number, because 72042741 - 2⁵ = 72042709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72042743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41605 + ... + 43301.

It is an arithmetic number, because the mean of its divisors is an integer number (4469985).

Almost surely, 2^72042741 is an apocalyptic number.

It is an amenable number.

72042741 is a deficient number, since it is larger than the sum of its proper divisors (35236899).

72042741 is a wasteful number, since it uses less digits than its factorization.

72042741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 72042741 is about 8487.7995381606. The cubic root of 72042741 is about 416.0990676441.

Adding to 72042741 its reverse (14724027), we get a palindrome (86766768).

The spelling of 72042741 in words is "seventy-two million, forty-two thousand, seven hundred forty-one".