72814 has 12 divisors (see below), whose sum is σ = 127224. Its totient is φ = 31164.

The previous prime is 72797. The next prime is 72817. The reversal of 72814 is 41827.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72817) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 274 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

2⁷²⁸¹⁴ is an apocalyptic number.

72814 is a deficient number, since it is larger than the sum of its proper divisors (54410).

72814 is a wasteful number, since it uses less digits than its factorization.

72814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 752 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The square root of 72814 is about 269.8406937435. The cubic root of 72814 is about 41.7578660164.

The spelling of 72814 in words is "seventy-two thousand, eight hundred fourteen".