72055360 has 56 divisors (see below), whose sum is σ = 184791096. Its totient is φ = 26603520.

The previous prime is 72055349. The next prime is 72055381. The reversal of 72055360 is 6355027.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 72046144 = 96^2 + 8488^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4501 + ... + 12820.

It is an arithmetic number, because the mean of its divisors is an integer number (3299841).

Almost surely, 2^72055360 is an apocalyptic number.

It is an amenable number.

72055360 is an abundant number, since it is smaller than the sum of its proper divisors (112735736).

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

72055360 is a wasteful number, since it uses less digits than its factorization.

72055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17351 (or 17341 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 72055360 is about 8488.5428667116. The cubic root of 72055360 is about 416.1233608508.

The spelling of 72055360 in words is "seventy-two million, fifty-five thousand, three hundred sixty".