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727069056 = 27372172273
BaseRepresentation
bin101011010101100…
…011000110000000
31212200002221020120
4223111203012000
52442112202211
6200051340240
724005661600
oct5325430600
91780087216
10727069056
1134345881a
121835b1680
13b782929c
146c7c2c00
1543c6cd06
hex2b563180

727069056 has 192 divisors, whose sum is σ = 2379786480. Its totient is φ = 195428352.

The previous prime is 727069027. The next prime is 727069061. The reversal of 727069056 is 650960727.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×7270690562 = 1057258824385462272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 727068999 and 727069017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318736 + ... + 321008.

Almost surely, 2727069056 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 727069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189893240).

727069056 is an abundant number, since it is smaller than the sum of its proper divisors (1652717424).

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

727069056 is a wasteful number, since it uses less digits than its factorization.

727069056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 727069056 is about 26964.2180676540. The cubic root of 727069056 is about 899.2046702138.

The spelling of 727069056 in words is "seven hundred twenty-seven million, sixty-nine thousand, fifty-six".