72927 has 16 divisors (see below), whose sum is σ = 112480. Its totient is φ = 46656.

The previous prime is 72923. The next prime is 72931.

72927 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (72923) and next prime (72931).

It is not a de Polignac number, because 72927 - 2² = 72923 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 72927.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72927.

It is not an unprimeable number, because it can be changed into a prime (72923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 963 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (7030).

2⁷²⁹²⁷ is an apocalyptic number.

72927 is a deficient number, since it is larger than the sum of its proper divisors (39553).

72927 is a wasteful number, since it uses less digits than its factorization.

72927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 72927 is about 270.0499953712. The cubic root of 72927 is about 41.7794561869.

Subtracting from 72927 its sum of digits (27), we obtain a square (72900 = 270²).

72927 divided by its sum of digits (27) gives a triangular number (2701 = T₇₃).

Adding to 72927 its product of digits (1764), we get a triangular number (74691 = T₃₈₆).

It can be divided in two parts, 729 and 27, that multiplied together give a 9-th power (19683 = 3⁹).

The spelling of 72927 in words is "seventy-two thousand, nine hundred twenty-seven".