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72916245 = 3254139521
BaseRepresentation
bin1000101100010…
…01110100010101
312002012112021200
410112021310111
5122131304440
611122503113
71543530543
oct426116425
9162175250
1072916245
1138183066
1220504a99
131215000c
149980d93
156604c30
hex4589d15

72916245 has 24 divisors (see below), whose sum is σ = 129474072. Its totient is φ = 37939200.

The previous prime is 72916241. The next prime is 72916267. The reversal of 72916245 is 54261927.

72916245 is a `hidden beast` number, since 7 + 29 + 1 + 624 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7257636 + 65658609 = 2694^2 + 8103^2 .

It is not a de Polignac number, because 72916245 - 22 = 72916241 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72916241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17916 + ... + 21605.

It is an arithmetic number, because the mean of its divisors is an integer number (5394753).

Almost surely, 272916245 is an apocalyptic number.

It is an amenable number.

72916245 is a deficient number, since it is larger than the sum of its proper divisors (56557827).

72916245 is a wasteful number, since it uses less digits than its factorization.

72916245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39573 (or 39570 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 72916245 is about 8539.1009479921. The cubic root of 72916245 is about 417.7740226014.

The spelling of 72916245 in words is "seventy-two million, nine hundred sixteen thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 39521 118563 197605 355689 592815 1620361 1778445 4861083 8101805 14583249 24305415 72916245