72005742 has 24 divisors (see below), whose sum is σ = 158572440. Its totient is φ = 23608080.

The previous prime is 72005729. The next prime is 72005749. The reversal of 72005742 is 24750027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72005749) 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 11 ways as a sum of consecutive naturals, for example, 31692 + ... + 33887.

It is an arithmetic number, because the mean of its divisors is an integer number (6607185).

Almost surely, 2^72005742 is an apocalyptic number.

72005742 is an abundant number, since it is smaller than the sum of its proper divisors (86566698).

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

72005742 is a wasteful number, since it uses less digits than its factorization.

72005742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65648 (or 65645 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 72005742 is about 8485.6197180878. The cubic root of 72005742 is about 416.0278234287.

Adding to 72005742 its reverse (24750027), we get a palindrome (96755769).

The spelling of 72005742 in words is "seventy-two million, five thousand, seven hundred forty-two".