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72513543776 = 2519733162709
BaseRepresentation
bin100001110001000100…
…1001101111001100000
320221011121000200201112
41003202021031321200
52142001431400101
653151240522452
75144644644422
oct1034211157140
9227147020645
1072513543776
1128831006783
1212078780428
136ab810966b
14371c790812
151d461146bb
hex10e224de60

72513543776 has 48 divisors (see below), whose sum is σ = 150480716400. Its totient is φ = 34301449728.

The previous prime is 72513543743. The next prime is 72513543827. The reversal of 72513543776 is 67734531527.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364310 + ... + 527018.

It is an arithmetic number, because the mean of its divisors is an integer number (3135014925).

Almost surely, 272513543776 is an apocalyptic number.

72513543776 is a gapful number since it is divisible by the number (76) 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 72513543776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75240358200).

72513543776 is an abundant number, since it is smaller than the sum of its proper divisors (77967172624).

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

72513543776 is a wasteful number, since it uses less digits than its factorization.

72513543776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163471 (or 163463 counting only the distinct ones).

The product of its digits is 3704400, while the sum is 50.

The spelling of 72513543776 in words is "seventy-two billion, five hundred thirteen million, five hundred forty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 733 1466 2932 5864 11728 13927 23456 27854 55708 111416 162709 222832 325418 445664 650836 1301672 2603344 3091471 5206688 6182942 12365884 24731768 49463536 98927072 119265697 238531394 477062788 954125576 1908251152 2266048243 3816502304 4532096486 9064192972 18128385944 36256771888 72513543776