72006035 has 8 divisors (see below), whose sum is σ = 86541936. Its totient is φ = 57515040.

The previous prime is 72006023. The next prime is 72006041. The reversal of 72006035 is 53060027.

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

It is not a de Polignac number, because 72006035 - 2¹² = 72001939 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72006035.

It is an unprimeable number.

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, 7589 + ... + 14198.

It is an arithmetic number, because the mean of its divisors is an integer number (10817742).

Almost surely, 2^72006035 is an apocalyptic number.

72006035 is a deficient number, since it is larger than the sum of its proper divisors (14535901).

72006035 is a wasteful number, since it uses less digits than its factorization.

72006035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22453.

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 72006035 is about 8485.6369825724. The cubic root of 72006035 is about 416.0283877170.

The spelling of 72006035 in words is "seventy-two million, six thousand, thirty-five".