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72432225 = 355211923
BaseRepresentation
bin1000101000100…
…11101001100001
312001021221100000
410110103221201
5122020312400
611104250213
71536443445
oct424235141
9161257300
1072432225
1137982448
1220310969
1312010908
149896825
15655b600
hex4513a61

72432225 has 36 divisors (see below), whose sum is σ = 134550416. Its totient is φ = 38627280.

The previous prime is 72432203. The next prime is 72432247. The reversal of 72432225 is 52223427.

72432225 is a `hidden beast` number, since 7 + 2 + 432 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (72432203) and next prime (72432247).

It is not a de Polignac number, because 72432225 - 214 = 72415841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114 + ... + 12036.

Almost surely, 272432225 is an apocalyptic number.

72432225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72432225 is a deficient number, since it is larger than the sum of its proper divisors (62118191).

72432225 is a wasteful number, since it uses less digits than its factorization.

72432225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11948 (or 11931 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 72432225 is about 8510.7123673639. The cubic root of 72432225 is about 416.8475712229.

The spelling of 72432225 in words is "seventy-two million, four hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 1215 2025 6075 11923 35769 59615 107307 178845 298075 321921 536535 894225 965763 1609605 2682675 2897289 4828815 8048025 14486445 24144075 72432225