72084345 has 16 divisors (see below), whose sum is σ = 115749312. Its totient is φ = 38306880.

The previous prime is 72084329. The next prime is 72084379. The reversal of 72084345 is 54348027.

It is not a de Polignac number, because 72084345 - 2⁴ = 72084329 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4246 + ... + 12735.

It is an arithmetic number, because the mean of its divisors is an integer number (7234332).

Almost surely, 2^72084345 is an apocalyptic number.

It is an amenable number.

72084345 is a deficient number, since it is larger than the sum of its proper divisors (43664967).

72084345 is a wasteful number, since it uses less digits than its factorization.

72084345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17272.

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 72084345 is about 8490.2499963193. The cubic root of 72084345 is about 416.1791499862.

The spelling of 72084345 in words is "seventy-two million, eighty-four thousand, three hundred forty-five".