72815 has 4 divisors (see below), whose sum is σ = 87384. Its totient is φ = 58248.

The previous prime is 72797. The next prime is 72817. The reversal of 72815 is 51827.

72815 = 34² + 35² + ... + 63².

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 72815 - 2⁸ = 72559 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 (72817) 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, 7277 + ... + 7286.

It is an arithmetic number, because the mean of its divisors is an integer number (21846).

2⁷²⁸¹⁵ is an apocalyptic number.

72815 is a deficient number, since it is larger than the sum of its proper divisors (14569).

72815 is a wasteful number, since it uses less digits than its factorization.

72815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14568.

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

The square root of 72815 is about 269.8425466823. The cubic root of 72815 is about 41.7580571778.

The spelling of 72815 in words is "seventy-two thousand, eight hundred fifteen".