72448820 has 24 divisors (see below), whose sum is σ = 153493704. Its totient is φ = 28722176.

The previous prime is 72448819. The next prime is 72448841. The reversal of 72448820 is 2884427.

It can be written as a sum of positive squares in 4 ways, for example, as 9278116 + 63170704 = 3046^2 + 7948^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13769 + ... + 18288.

It is an arithmetic number, because the mean of its divisors is an integer number (6395571).

Almost surely, 2^72448820 is an apocalyptic number.

It is an amenable number.

72448820 is an abundant number, since it is smaller than the sum of its proper divisors (81044884).

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

72448820 is a wasteful number, since it uses less digits than its factorization.

72448820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32179 (or 32177 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 72448820 is about 8511.6872592924. The cubic root of 72448820 is about 416.8794035425.

The spelling of 72448820 in words is "seventy-two million, four hundred forty-eight thousand, eight hundred twenty".