72859300 has 72 divisors (see below), whose sum is σ = 171933440. Its totient is φ = 26697600.

The previous prime is 72859291. The next prime is 72859301. The reversal of 72859300 is 395827.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72859301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58282 + ... + 59518.

Almost surely, 2^72859300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72859300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85966720).

72859300 is an abundant number, since it is smaller than the sum of its proper divisors (99074140).

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

72859300 is a wasteful number, since it uses less digits than its factorization.

72859300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 72859300 is about 8535.7659293118. The cubic root of 72859300 is about 417.6652387153.

The spelling of 72859300 in words is "seventy-two million, eight hundred fifty-nine thousand, three hundred".