72714 has 8 divisors (see below), whose sum is σ = 145440. Its totient is φ = 24236.

The previous prime is 72707. The next prime is 72719. The reversal of 72714 is 41727.

72714 is nontrivially palindromic in base 11.

It is a sphenic number, since it is the product of 3 distinct primes.

72714 is an admirable number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72714.

It is not an unprimeable number, because it can be changed into a prime (72719) 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, 6054 + ... + 6065.

It is an arithmetic number, because the mean of its divisors is an integer number (18180).

2⁷²⁷¹⁴ is an apocalyptic number.

72714 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72720).

72714 is a wasteful number, since it uses less digits than its factorization.

72714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12124.

The product of its digits is 392, while the sum is 21.

The square root of 72714 is about 269.6553355675. The cubic root of 72714 is about 41.7387410327.

It can be divided in two parts, 727 and 14, that added together give a triangular number (741 = T₃₈).

The spelling of 72714 in words is "seventy-two thousand, seven hundred fourteen", and thus it is an iban number.