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72825400 = 2352364127
BaseRepresentation
bin1000101011100…
…11101000111000
312002000220200001
410111303220320
5122120403100
611120522344
71543001644
oct425635070
9162026601
1072825400
113812088a
12204803b4
131211a86b
149959c24
1565d7d6a
hex4573a38

72825400 has 24 divisors (see below), whose sum is σ = 169319520. Its totient is φ = 29130080.

The previous prime is 72825373. The next prime is 72825413. The reversal of 72825400 is 452827.

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 5 ways as a sum of consecutive naturals, for example, 181864 + ... + 182263.

It is an arithmetic number, because the mean of its divisors is an integer number (7054980).

Almost surely, 272825400 is an apocalyptic number.

It is an amenable number.

72825400 is an abundant number, since it is smaller than the sum of its proper divisors (96494120).

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

72825400 is a wasteful number, since it uses less digits than its factorization.

72825400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364143 (or 364134 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 72825400 is about 8533.7799362299. The cubic root of 72825400 is about 417.6004515245.

The spelling of 72825400 in words is "seventy-two million, eight hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 364127 728254 1456508 1820635 2913016 3641270 7282540 9103175 14565080 18206350 36412700 72825400