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72326880 = 2532550227
BaseRepresentation
bin1000100111110…
…01111011100000
312001002120211100
410103321323200
5122003430010
611102114400
71535524353
oct423717340
9161076740
1072326880
113791028a
122027ba00
1311ca4992
14986a29a
15653a2c0
hex44f9ee0

72326880 has 72 divisors (see below), whose sum is σ = 246820392. Its totient is φ = 19286784.

The previous prime is 72326879. The next prime is 72326887. The reversal of 72326880 is 8862327.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72326887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23674 + ... + 26553.

It is an arithmetic number, because the mean of its divisors is an integer number (3428061).

Almost surely, 272326880 is an apocalyptic number.

It is an amenable number.

72326880 is an abundant number, since it is smaller than the sum of its proper divisors (174493512).

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

72326880 is a wasteful number, since it uses less digits than its factorization.

72326880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50248 (or 50237 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72326880 is about 8504.5211505410. The cubic root of 72326880 is about 416.6453862909.

The spelling of 72326880 in words is "seventy-two million, three hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 50227 100454 150681 200908 251135 301362 401816 452043 502270 602724 753405 803632 904086 1004540 1205448 1506810 1607264 1808172 2009080 2260215 2410896 3013620 3616344 4018160 4520430 4821792 6027240 7232688 8036320 9040860 12054480 14465376 18081720 24108960 36163440 72326880