72883360 has 48 divisors (see below), whose sum is σ = 187844832. Its totient is φ = 26502400.

The previous prime is 72883357. The next prime is 72883361. The reversal of 72883360 is 6338827.

It is a super-4 number, since 4×72883360⁴ (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (72883361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18946 + ... + 22465.

It is an arithmetic number, because the mean of its divisors is an integer number (3913434).

Almost surely, 2^72883360 is an apocalyptic number.

It is an amenable number.

72883360 is an abundant number, since it is smaller than the sum of its proper divisors (114961472).

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

72883360 is a wasteful number, since it uses less digits than its factorization.

72883360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41437 (or 41429 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 72883360 is about 8537.1751768369. The cubic root of 72883360 is about 417.7112082286.

It can be divided in two parts, 7288 and 3360, that added together give a cube (10648 = 22³).

The spelling of 72883360 in words is "seventy-two million, eight hundred eighty-three thousand, three hundred sixty".