72052006 has 32 divisors (see below), whose sum is σ = 120149568. Its totient is φ = 32194560.

The previous prime is 72051989. The next prime is 72052021. The reversal of 72052006 is 60025027.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 273831 + ... + 274093.

It is an arithmetic number, because the mean of its divisors is an integer number (3754674).

Almost surely, 2^72052006 is an apocalyptic number.

72052006 is a deficient number, since it is larger than the sum of its proper divisors (48097562).

72052006 is a wasteful number, since it uses less digits than its factorization.

72052006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 72052006 is about 8488.3453040036. The cubic root of 72052006 is about 416.1169042439.

The spelling of 72052006 in words is "seventy-two million, fifty-two thousand, six".