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72502001920 = 28556642189
BaseRepresentation
bin100001110000101110…
…1001100000100000000
320221010210022022021101
41003201131030010000
52141441003030140
653150145304144
75144444563615
oct1034135140400
9227123268241
1072502001920
1128825543157
1212074935054
136ab58c806a
14371b02850c
151d450d499a
hex10e174c100

72502001920 has 36 divisors (see below), whose sum is σ = 173664954540. Its totient is φ = 29000800256.

The previous prime is 72502001879. The next prime is 72502001927. The reversal of 72502001920 is 2910020527.

It can be written as a sum of positive squares in 2 ways, for example, as 55048421376 + 17453580544 = 234624^2 + 132112^2 .

It is not an unprimeable number, because it can be changed into a prime (72502001927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28319815 + ... + 28322374.

It is an arithmetic number, because the mean of its divisors is an integer number (4824026515).

Almost surely, 272502001920 is an apocalyptic number.

It is an amenable number.

72502001920 is an abundant number, since it is smaller than the sum of its proper divisors (101162952620).

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

72502001920 is an equidigital number, since it uses as much as digits as its factorization.

72502001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56642210 (or 56642196 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 72502001920 in words is "seventy-two billion, five hundred two million, one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 56642189 113284378 226568756 283210945 453137512 566421890 906275024 1132843780 1812550048 2265687560 3625100096 4531375120 7250200192 9062750240 14500400384 18125500480 36251000960 72502001920