72005306 has 8 divisors (see below), whose sum is σ = 110519904. Its totient is φ = 35165340.

The previous prime is 72005299. The next prime is 72005309. The reversal of 72005306 is 60350027.

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 (72005309) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 418550 + ... + 418721.

It is an arithmetic number, because the mean of its divisors is an integer number (13814988).

Almost surely, 2^72005306 is an apocalyptic number.

72005306 is a deficient number, since it is larger than the sum of its proper divisors (38514598).

72005306 is a wasteful number, since it uses less digits than its factorization.

72005306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837316.

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

The square root of 72005306 is about 8485.5940275269. The cubic root of 72005306 is about 416.0269837341.

The spelling of 72005306 in words is "seventy-two million, five thousand, three hundred six".