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72000450 = 23252160001
BaseRepresentation
bin1000100101010…
…10001111000010
312000111000001100
410102222033002
5121413003300
611051115230
71532664564
oct422521702
9160430040
1072000450
1137708005
1220142b16
1311bbc222
1497c3334
1564c3700
hex44aa3c2

72000450 has 36 divisors (see below), whose sum is σ = 193442418. Its totient is φ = 19200000.

The previous prime is 72000449. The next prime is 72000479. The reversal of 72000450 is 5400027.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 70509609 + 1490841 = 8397^2 + 1221^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent 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 17 ways as a sum of consecutive naturals, for example, 79551 + ... + 80450.

Almost surely, 272000450 is an apocalyptic number.

72000450 is an abundant number, since it is smaller than the sum of its proper divisors (121441968).

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

72000450 is a wasteful number, since it uses less digits than its factorization.

72000450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160019 (or 160011 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 72000450 is about 8485.3078907014. The cubic root of 72000450 is about 416.0176313102.

Adding to 72000450 its reverse (5400027), we get a palindrome (77400477).

The spelling of 72000450 in words is "seventy-two million, four hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 160001 320002 480003 800005 960006 1440009 1600010 2400015 2880018 4000025 4800030 7200045 8000050 12000075 14400090 24000150 36000225 72000450