72825200 has 120 divisors (see below), whose sum is σ = 206653440. Its totient is φ = 24134400.

The previous prime is 72825191. The next prime is 72825211. The reversal of 72825200 is 252827.

It is a self number, because there is not a number n which added to its sum of digits gives 72825200.

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 23 ways as a sum of consecutive naturals, for example, 86381 + ... + 87219.

It is an arithmetic number, because the mean of its divisors is an integer number (1722112).

Almost surely, 2^72825200 is an apocalyptic number.

72825200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72825200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103326720).

72825200 is an abundant number, since it is smaller than the sum of its proper divisors (133828240).

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

72825200 is a wasteful number, since it uses less digits than its factorization.

72825200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 72825200 is about 8533.7682180851. The cubic root of 72825200 is about 417.6000692395.

The spelling of 72825200 in words is "seventy-two million, eight hundred twenty-five thousand, two hundred".