72827 has 4 divisors (see below), whose sum is σ = 76680. Its totient is φ = 68976.

The previous prime is 72823. The next prime is 72859.

72827 is nontrivially palindromic in base 10.

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 72827 - 2² = 72823 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72796 and 72805.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72827.

It is not an unprimeable number, because it can be changed into a prime (72823) 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, 1898 + ... + 1935.

It is an arithmetic number, because the mean of its divisors is an integer number (19170).

2⁷²⁸²⁷ is an apocalyptic number.

72827 is a deficient number, since it is larger than the sum of its proper divisors (3853).

72827 is a wasteful number, since it uses less digits than its factorization.

72827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852.

The product of its digits is 1568, while the sum is 26.

The square root of 72827 is about 269.8647809552. The cubic root of 72827 is about 41.7603509779.

The spelling of 72827 in words is "seventy-two thousand, eight hundred twenty-seven".