72851 has 4 divisors (see below), whose sum is σ = 73392. Its totient is φ = 72312.

The previous prime is 72823. The next prime is 72859. The reversal of 72851 is 15827.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 72851 - 2¹⁴ = 56467 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

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, 125 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (18348).

2⁷²⁸⁵¹ is an apocalyptic number.

72851 is a deficient number, since it is larger than the sum of its proper divisors (541).

72851 is a wasteful number, since it uses less digits than its factorization.

72851 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540.

The product of its digits is 560, while the sum is 23.

The square root of 72851 is about 269.9092440062. The cubic root of 72851 is about 41.7649378223.

It can be divided in two parts, 728 and 51, that multiplied together give a triangular number (37128 = T₂₇₂).

The spelling of 72851 in words is "seventy-two thousand, eight hundred fifty-one".