72713 has 8 divisors (see below), whose sum is σ = 79200. Its totient is φ = 66528.

The previous prime is 72707. The next prime is 72719. The reversal of 72713 is 31727.

It is an interprime number because it is at equal distance from previous prime (72707) and next prime (72719).

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

It is a cyclic number.

It is not a de Polignac number, because 72713 - 2⁶ = 72649 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 773 + ... + 861.

It is an arithmetic number, because the mean of its divisors is an integer number (9900).

2⁷²⁷¹³ is an apocalyptic number.

It is an amenable number.

72713 is a deficient number, since it is larger than the sum of its proper divisors (6487).

72713 is a wasteful number, since it uses less digits than its factorization.

72713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151.

The product of its digits is 294, while the sum is 20.

The square root of 72713 is about 269.6534813423. The cubic root of 72713 is about 41.7385496944.

The spelling of 72713 in words is "seventy-two thousand, seven hundred thirteen".