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7272000000 = 293256101
BaseRepresentation
bin1101100010111000…
…11110101000000000
3200202210112212122100
412301130132220000
5104343113000000
63201332110400
7345130660116
oct66134365000
920683485570
107272000000
1130a1944261
1214ab465400
138bb77c1a5
144cdb21ab6
152c8646a00
hex1b171ea00

7272000000 has 420 divisors, whose sum is σ = 26493762438. Its totient is φ = 1920000000.

The previous prime is 7271999989. The next prime is 7272000013. The reversal of 7272000000 is 2727.

It can be written as a sum of positive squares in 7 ways, for example, as 1829101824 + 5442898176 = 42768^2 + 73776^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 71999950 + ... + 72000050.

Almost surely, 27272000000 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 7272000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13246881219).

7272000000 is an abundant number, since it is smaller than the sum of its proper divisors (19221762438).

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

7272000000 is an frugal number, since it uses more digits than its factorization.

7272000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 7272000000 is about 85276.0224213114. The cubic root of 7272000000 is about 1937.3940281963.

Adding to 7272000000 its reverse (2727), we get a palindrome (7272002727).

It can be divided in two parts, 72 and 72000000, that multiplied together give a square (5184000000 = 720002).

The spelling of 7272000000 in words is "seven billion, two hundred seventy-two million", and thus it is an aban number.