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72255726 = 2341932311
BaseRepresentation
bin1000100111010…
…00100011101110
312000221222020000
410103220203232
5121444140401
611100405130
71535110044
oct423504356
9160858200
1072255726
1137871884
12202467a6
1311c7b48a
14984c394
156524186
hex44e88ee

72255726 has 40 divisors (see below), whose sum is σ = 162815664. Its totient is φ = 23950080.

The previous prime is 72255697. The next prime is 72255731. The reversal of 72255726 is 62755227.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30111 + ... + 32421.

Almost surely, 272255726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72255726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81407832).

72255726 is an abundant number, since it is smaller than the sum of its proper divisors (90559938).

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

72255726 is a wasteful number, since it uses less digits than its factorization.

72255726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2509 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 72255726 is about 8500.3368168561. The cubic root of 72255726 is about 416.5087118260.

The spelling of 72255726 in words is "seventy-two million, two hundred fifty-five thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 193 386 579 1158 1737 2311 3474 4622 5211 6933 10422 13866 15633 20799 31266 41598 62397 124794 187191 374382 446023 892046 1338069 2676138 4014207 8028414 12042621 24085242 36127863 72255726