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72255112020 = 223957132017
BaseRepresentation
bin100001101001010111…
…1011000001101010100
320220111120202000000000
41003102233120031110
52140434302041040
653105445451300
75135356214160
oct1032257301524
9226446660000
1072255112020
1128709144113
1212006110b30
136a76704170
1436d631bca0
151d2d5b7130
hex10d2bd8354

72255112020 has 480 divisors, whose sum is σ = 280261648128. Its totient is φ = 15237476352.

The previous prime is 72255111983. The next prime is 72255112021. The reversal of 72255112020 is 2021155227.

72255112020 is a `hidden beast` number, since 72 + 2 + 551 + 1 + 20 + 20 = 666.

It is a super-3 number, since 3×722551120203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72255112021) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 35822052 + ... + 35824068.

Almost surely, 272255112020 is an apocalyptic number.

72255112020 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 72255112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140130824064).

72255112020 is an abundant number, since it is smaller than the sum of its proper divisors (208006536108).

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

72255112020 is a wasteful number, since it uses less digits than its factorization.

72255112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 72255112020 its reverse (2021155227), we get a palindrome (74276267247).

The spelling of 72255112020 in words is "seventy-two billion, two hundred fifty-five million, one hundred twelve thousand, twenty".