72805642 has 16 divisors (see below), whose sum is σ = 134410752. Its totient is φ = 28802160.

The previous prime is 72805589. The next prime is 72805643. The reversal of 72805642 is 24650827.

It is a junction number, because it is equal to n+sod(n) for n = 72805598 and 72805607.

It is not an unprimeable number, because it can be changed into a prime (72805643) 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, 199834 + ... + 200197.

It is an arithmetic number, because the mean of its divisors is an integer number (8400672).

Almost surely, 2^72805642 is an apocalyptic number.

72805642 is a deficient number, since it is larger than the sum of its proper divisors (61605110).

72805642 is a wasteful number, since it uses less digits than its factorization.

72805642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400053.

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 72805642 is about 8532.6222229746. The cubic root of 72805642 is about 417.5626822114.

The spelling of 72805642 in words is "seventy-two million, eight hundred five thousand, six hundred forty-two".