72117316 has 12 divisors (see below), whose sum is σ = 130557420. Its totient is φ = 34815200.

The previous prime is 72117313. The next prime is 72117337. The reversal of 72117316 is 61371127.

72117316 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 57062916 + 15054400 = 7554^2 + 3880^2 .

It is not an unprimeable number, because it can be changed into a prime (72117313) 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, 310735 + ... + 310966.

It is an arithmetic number, because the mean of its divisors is an integer number (10879785).

Almost surely, 2^72117316 is an apocalyptic number.

It is an amenable number.

72117316 is a deficient number, since it is larger than the sum of its proper divisors (58440104).

72117316 is a wasteful number, since it uses less digits than its factorization.

72117316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621734 (or 621732 counting only the distinct ones).

The product of its digits is 1764, while the sum is 28.

The square root of 72117316 is about 8492.1914721702. The cubic root of 72117316 is about 416.2425930319.

The spelling of 72117316 in words is "seventy-two million, one hundred seventeen thousand, three hundred sixteen".