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72722909376 = 263513359701
BaseRepresentation
bin100001110111010011…
…1111000100011000000
320221201011222120100000
41003232213320203000
52142414031100001
653224120200000
75153066346645
oct1035647704300
9227634876300
1072722909376
11289292061a7
1212116909000
136b1c5c2830
14373c4cddcc
151d596bda86
hex10ee9f88c0

72722909376 has 168 divisors, whose sum is σ = 232796256784. Its totient is φ = 22376217600.

The previous prime is 72722909353. The next prime is 72722909411. The reversal of 72722909376 is 67390922727.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 22326 + ... + 382026.

Almost surely, 272722909376 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 72722909376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116398128392).

72722909376 is an abundant number, since it is smaller than the sum of its proper divisors (160073347408).

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

72722909376 is a wasteful number, since it uses less digits than its factorization.

72722909376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359741 (or 359719 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 72722909376 in words is "seventy-two billion, seven hundred twenty-two million, nine hundred nine thousand, three hundred seventy-six".