72916 has 6 divisors (see below), whose sum is σ = 127610. Its totient is φ = 36456.

The previous prime is 72911. The next prime is 72923. The reversal of 72916 is 61927.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 16 = 270^2 + 4^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9111 + ... + 9118.

2⁷²⁹¹⁶ is an apocalyptic number.

It is an amenable number.

72916 is a deficient number, since it is larger than the sum of its proper divisors (54694).

72916 is a wasteful number, since it uses less digits than its factorization.

72916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18233 (or 18231 counting only the distinct ones).

The product of its digits is 756, while the sum is 25.

The square root of 72916 is about 270.0296280040. The cubic root of 72916 is about 41.7773554691. Note that the first 3 decimals are identical.

It can be divided in two parts, 729 and 16, that multiplied together give a square (11664 = 108²).

The spelling of 72916 in words is "seventy-two thousand, nine hundred sixteen".