72264728 has 16 divisors (see below), whose sum is σ = 135587760. Its totient is φ = 36108000.

The previous prime is 72264727. The next prime is 72264749. The reversal of 72264728 is 82746227.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72264691 and 72264700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72264727) 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 3 ways as a sum of consecutive naturals, for example, 18638 + ... + 22178.

It is an arithmetic number, because the mean of its divisors is an integer number (8474235).

Almost surely, 2^72264728 is an apocalyptic number.

It is an amenable number.

72264728 is a deficient number, since it is larger than the sum of its proper divisors (63323032).

72264728 is a wasteful number, since it uses less digits than its factorization.

72264728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6098 (or 6094 counting only the distinct ones).

The product of its digits is 75264, while the sum is 38.

The square root of 72264728 is about 8500.8663087947. The cubic root of 72264728 is about 416.5260080595.

The spelling of 72264728 in words is "seventy-two million, two hundred sixty-four thousand, seven hundred twenty-eight".