72280820 has 12 divisors (see below), whose sum is σ = 151789764. Its totient is φ = 28912320.

The previous prime is 72280781. The next prime is 72280829. The reversal of 72280820 is 2808227.

It can be written as a sum of positive squares in 2 ways, for example, as 20757136 + 51523684 = 4556^2 + 7178^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72280829) 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, 1807001 + ... + 1807040.

It is an arithmetic number, because the mean of its divisors is an integer number (12649147).

Almost surely, 2^72280820 is an apocalyptic number.

It is an amenable number.

72280820 is an abundant number, since it is smaller than the sum of its proper divisors (79508944).

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

72280820 is a wasteful number, since it uses less digits than its factorization.

72280820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614050 (or 3614048 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 72280820 is about 8501.8127478791. The cubic root of 72280820 is about 416.5569232756.

The spelling of 72280820 in words is "seventy-two million, two hundred eighty thousand, eight hundred twenty".