72001642 has 8 divisors (see below), whose sum is σ = 108451332. Its totient is φ = 35851200.

The previous prime is 72001639. The next prime is 72001649. The reversal of 72001642 is 24610027.

It can be written as a sum of positive squares in 2 ways, for example, as 59120721 + 12880921 = 7689^2 + 3589^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not an unprimeable number, because it can be changed into a prime (72001649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74209 + ... + 75172.

Almost surely, 2^72001642 is an apocalyptic number.

72001642 is a deficient number, since it is larger than the sum of its proper divisors (36449690).

72001642 is a wasteful number, since it uses less digits than its factorization.

72001642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149624.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 72001642 is about 8485.3781294648. The cubic root of 72001642 is about 416.0199270842.

Adding to 72001642 its reverse (24610027), we get a palindrome (96611669).

The spelling of 72001642 in words is "seventy-two million, one thousand, six hundred forty-two".