72314 has 16 divisors (see below), whose sum is σ = 125280. Its totient is φ = 30960.

The previous prime is 72313. The next prime is 72337. The reversal of 72314 is 41327.

72314 = 17² + 18² + ... + 60².

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72292 and 72301.

It is not an unprimeable number, because it can be changed into a prime (72313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332 + ... + 504.

It is an arithmetic number, because the mean of its divisors is an integer number (7830).

2⁷²³¹⁴ is an apocalyptic number.

72314 is a deficient number, since it is larger than the sum of its proper divisors (52966).

72314 is a wasteful number, since it uses less digits than its factorization.

72314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205.

The product of its digits is 168, while the sum is 17.

The square root of 72314 is about 268.9126252150. The cubic root of 72314 is about 41.6620652696.

It can be divided in two parts, 723 and 14, that added together give a palindrome (737).

The spelling of 72314 in words is "seventy-two thousand, three hundred fourteen", and thus it is an iban number.