72857 has 4 divisors (see below), whose sum is σ = 74676. Its totient is φ = 71040.

The previous prime is 72823. The next prime is 72859. The reversal of 72857 is 75827.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 75827 = 191 ⋅397.

It can be written as a sum of positive squares in 2 ways, for example, as 17161 + 55696 = 131^2 + 236^2 .

It is a cyclic number.

It is not a de Polignac number, because 72857 - 2¹⁴ = 56473 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72859) 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, 848 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (18669).

2⁷²⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

72857 is a deficient number, since it is larger than the sum of its proper divisors (1819).

72857 is a wasteful number, since it uses less digits than its factorization.

72857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818.

The product of its digits is 3920, while the sum is 29.

The square root of 72857 is about 269.9203586245. The cubic root of 72857 is about 41.7660843760.

It can be divided in two parts, 72 and 857, that added together give a palindrome (929).

The spelling of 72857 in words is "seventy-two thousand, eight hundred fifty-seven".