72795 has 16 divisors (see below), whose sum is σ = 122112. Its totient is φ = 36960.

The previous prime is 72767. The next prime is 72797. The reversal of 72795 is 59727.

72795 = 15² + 16² + ... + 60².

It is a happy number.

72795 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 72795 - 2⁵ = 72763 is a prime.

It is a super-2 number, since 2×72795² = 10598224050, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72795.

It is not an unprimeable number, because it can be changed into a prime (72797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (7632).

2⁷²⁷⁹⁵ is an apocalyptic number.

72795 is a deficient number, since it is larger than the sum of its proper divisors (49317).

72795 is a wasteful number, since it uses less digits than its factorization.

72795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242.

The product of its digits is 4410, while the sum is 30.

The square root of 72795 is about 269.8054854891. The cubic root of 72795 is about 41.7542336176.

The spelling of 72795 in words is "seventy-two thousand, seven hundred ninety-five".