72821800 has 96 divisors (see below), whose sum is σ = 177131520. Its totient is φ = 27820800.

The previous prime is 72821783. The next prime is 72821803. The reversal of 72821800 is 812827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72821803) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 573337 + ... + 573463.

It is an arithmetic number, because the mean of its divisors is an integer number (1845120).

Almost surely, 2^72821800 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 72821800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88565760).

72821800 is an abundant number, since it is smaller than the sum of its proper divisors (104309720).

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

72821800 is a wasteful number, since it uses less digits than its factorization.

72821800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 72821800 is about 8533.5690071622. The cubic root of 72821800 is about 417.5935702880.

The spelling of 72821800 in words is "seventy-two million, eight hundred twenty-one thousand, eight hundred".