72818316 has 18 divisors (see below), whose sum is σ = 184068612. Its totient is φ = 24272760.

The previous prime is 72818311. The next prime is 72818341. The reversal of 72818316 is 61381827.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2022731 = 72818316 / (7 + 2 + 8 + 1 + 8 + 3 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (72818311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1011330 + ... + 1011401.

It is an arithmetic number, because the mean of its divisors is an integer number (10226034).

Almost surely, 2^72818316 is an apocalyptic number.

It is an amenable number.

72818316 is an abundant number, since it is smaller than the sum of its proper divisors (111250296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72818316 is a wasteful number, since it uses less digits than its factorization.

72818316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022741 (or 2022736 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 72818316 is about 8533.3648697334. The cubic root of 72818316 is about 417.5869105643.

It can be divided in two parts, 728 and 18316, that added together give a square (19044 = 138²).

The spelling of 72818316 in words is "seventy-two million, eight hundred eighteen thousand, three hundred sixteen".