72971 has 4 divisors (see below), whose sum is σ = 74712. Its totient is φ = 71232.

The previous prime is 72959. The next prime is 72973. The reversal of 72971 is 17927.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 72971 - 2⁶ = 72907 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72971.

It is not an unprimeable number, because it can be changed into a prime (72973) 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, 806 + ... + 891.

It is an arithmetic number, because the mean of its divisors is an integer number (18678).

2⁷²⁹⁷¹ is an apocalyptic number.

72971 is a deficient number, since it is larger than the sum of its proper divisors (1741).

72971 is a wasteful number, since it uses less digits than its factorization.

72971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740.

The product of its digits is 882, while the sum is 26.

The square root of 72971 is about 270.1314494834. The cubic root of 72971 is about 41.7878569460.

The spelling of 72971 in words is "seventy-two thousand, nine hundred seventy-one".