72006905 has 8 divisors (see below), whose sum is σ = 90165312. Its totient is φ = 55100848.

The previous prime is 72006881. The next prime is 72006911. The reversal of 72006905 is 50960027.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72006905 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312959 + ... + 313188.

It is an arithmetic number, because the mean of its divisors is an integer number (11270664).

Almost surely, 2^72006905 is an apocalyptic number.

It is an amenable number.

72006905 is a deficient number, since it is larger than the sum of its proper divisors (18158407).

72006905 is a wasteful number, since it uses less digits than its factorization.

72006905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626175.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 72006905 is about 8485.6882455108. The cubic root of 72006905 is about 416.0300632397.

The spelling of 72006905 in words is "seventy-two million, six thousand, nine hundred five".