72346314 has 16 divisors (see below), whose sum is σ = 144825120. Its totient is φ = 24093360.

The previous prime is 72346289. The next prime is 72346327. The reversal of 72346314 is 41364327.

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, 2469 + ... + 12279.

It is an arithmetic number, because the mean of its divisors is an integer number (9051570).

Almost surely, 2^72346314 is an apocalyptic number.

72346314 is an abundant number, since it is smaller than the sum of its proper divisors (72478806).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72346314 is a wasteful number, since it uses less digits than its factorization.

72346314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11045.

The product of its digits is 12096, while the sum is 30.

The square root of 72346314 is about 8505.6636425384. The cubic root of 72346314 is about 416.6827000408.

The spelling of 72346314 in words is "seventy-two million, three hundred forty-six thousand, three hundred fourteen".