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72306325 = 5271337859
BaseRepresentation
bin1000100111101…
…00111010010101
312001001112122001
410103310322111
5122002300300
611101435301
71535410420
oct423647225
9161045561
1072306325
11378a68a3
122026bb31
1311c98510
1498629b7
15653416a
hex44f4e95

72306325 has 48 divisors (see below), whose sum is σ = 113464960. Its totient is φ = 44478720.

The previous prime is 72306317. The next prime is 72306331. The reversal of 72306325 is 52360327.

72306325 is a nontrivial binomial coefficient, being equal to C(12026, 2).

It is not a de Polignac number, because 72306325 - 23 = 72306317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72306293 and 72306302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83746 + ... + 84604.

Almost surely, 272306325 is an apocalyptic number.

72306325 is the 12025-th triangular number and also the 6013-rd hexagonal number.

72306325 is the 4009-th centered nonagonal number.

It is an amenable number.

72306325 is a deficient number, since it is larger than the sum of its proper divisors (41158635).

72306325 is a wasteful number, since it uses less digits than its factorization.

72306325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 72306325 is about 8503.3125898088. The cubic root of 72306325 is about 416.6059129198.

The spelling of 72306325 in words is "seventy-two million, three hundred six thousand, three hundred twenty-five".

Divisors: 1 5 7 13 25 35 37 65 91 175 185 259 325 455 481 859 925 1295 2275 2405 3367 4295 6013 6475 11167 12025 16835 21475 30065 31783 55835 78169 84175 150325 158915 222481 279175 390845 413179 794575 1112405 1954225 2065895 2892253 5562025 10329475 14461265 72306325