72006042 has 16 divisors (see below), whose sum is σ = 144097920. Its totient is φ = 23987712.

The previous prime is 72006041. The next prime is 72006049. The reversal of 72006042 is 24060027.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72006041) 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 7 ways as a sum of consecutive naturals, for example, 13903 + ... + 18365.

It is an arithmetic number, because the mean of its divisors is an integer number (9006120).

Almost surely, 2^72006042 is an apocalyptic number.

72006042 is an abundant number, since it is smaller than the sum of its proper divisors (72091878).

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

72006042 is a wasteful number, since it uses less digits than its factorization.

72006042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 72006042 is about 8485.6373950340. The cubic root of 72006042 is about 416.0284011983.

Adding to 72006042 its reverse (24060027), we get a palindrome (96066069).

The spelling of 72006042 in words is "seventy-two million, six thousand, forty-two".