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72366121620 = 2232513311397177
BaseRepresentation
bin100001101100101011…
…0110110001010010100
320220210022121212112200
41003121112312022110
52141201211342440
653124453044500
75141204612262
oct1033126661224
9226708555480
1072366121620
1128765875291
1212037326730
136a93700c10
143706d77432
151d381e3c30
hex10d95b6294

72366121620 has 288 divisors, whose sum is σ = 245811471360. Its totient is φ = 17112176640.

The previous prime is 72366121601. The next prime is 72366121631. The reversal of 72366121620 is 2612166327.

72366121620 is a `hidden beast` number, since 7 + 2 + 3 + 6 + 6 + 1 + 21 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10079472 + ... + 10086648.

Almost surely, 272366121620 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 72366121620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122905735680).

72366121620 is an abundant number, since it is smaller than the sum of its proper divisors (173445349740).

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

72366121620 is a wasteful number, since it uses less digits than its factorization.

72366121620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7375 (or 7370 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 72366121620 its reverse (2612166327), we get a palindrome (74978287947).

The spelling of 72366121620 in words is "seventy-two billion, three hundred sixty-six million, one hundred twenty-one thousand, six hundred twenty".