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72430000 = 24547243
BaseRepresentation
bin1000101000100…
…11000110110000
312001021211021121
410110103012300
5122020230000
611104232024
71536434116
oct424230660
9161254247
1072430000
1137980805
122030b614
131200c8b6
149895ab6
15655ab1a
hex45131b0

72430000 has 50 divisors (see below), whose sum is σ = 175384484. Its totient is φ = 28968000.

The previous prime is 72429991. The next prime is 72430037. The reversal of 72430000 is 3427.

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×724300002 = 10492209800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6379 + ... + 13621.

Almost surely, 272430000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87692242).

72430000 is an abundant number, since it is smaller than the sum of its proper divisors (102954484).

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

72430000 is an equidigital number, since it uses as much as digits as its factorization.

72430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7271 (or 7250 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 72430000 is about 8510.5816487476. The cubic root of 72430000 is about 416.8433028863.

Adding to 72430000 its reverse (3427), we get a palindrome (72433427).

The spelling of 72430000 in words is "seventy-two million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 7243 10000 14486 28972 36215 57944 72430 115888 144860 181075 289720 362150 579440 724300 905375 1448600 1810750 2897200 3621500 4526875 7243000 9053750 14486000 18107500 36215000 72430000