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72024025 = 525774993
BaseRepresentation
bin1000100101011…
…11111111011001
312000112012101111
410102233333121
5121414232100
611051420321
71533123403
oct422577731
9160465344
1072024025
1137723797
12201546a1
1311bc9b88
1497cbb73
1564ca6ba
hex44affd9

72024025 has 12 divisors (see below), whose sum is σ = 89482492. Its totient is φ = 57507840.

The previous prime is 72023989. The next prime is 72024031. The reversal of 72024025 is 52042027.

It can be written as a sum of positive squares in 6 ways, for example, as 1245456 + 70778569 = 1116^2 + 8413^2 .

It is not a de Polignac number, because 72024025 - 211 = 72021977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72023987 and 72024005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11929 + ... + 16921.

Almost surely, 272024025 is an apocalyptic number.

It is an amenable number.

72024025 is a deficient number, since it is larger than the sum of its proper divisors (17458467).

72024025 is a wasteful number, since it uses less digits than its factorization.

72024025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5580 (or 5575 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 72024025 is about 8486.6969428630. The cubic root of 72024025 is about 416.0630316997.

The spelling of 72024025 in words is "seventy-two million, twenty-four thousand, twenty-five".

Divisors: 1 5 25 577 2885 4993 14425 24965 124825 2880961 14404805 72024025