72267680 has 72 divisors (see below), whose sum is σ = 181891332. Its totient is φ = 27039744.

The previous prime is 72267667. The next prime is 72267683. The reversal of 72267680 is 8676227.

It can be written as a sum of positive squares in 2 ways, for example, as 71842576 + 425104 = 8476^2 + 652^2 .

It is not an unprimeable number, because it can be changed into a prime (72267683) 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 11 ways as a sum of consecutive naturals, for example, 443279 + ... + 443441.

Almost surely, 2^72267680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90945666).

72267680 is an abundant number, since it is smaller than the sum of its proper divisors (109623652).

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

72267680 is a wasteful number, since it uses less digits than its factorization.

72267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 72267680 is about 8501.0399363843. The cubic root of 72267680 is about 416.5316796509.

The spelling of 72267680 in words is "seventy-two million, two hundred sixty-seven thousand, six hundred eighty".