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72470000 = 24547247
BaseRepresentation
bin1000101000111…
…00110111110000
312001100212011002
410110130313300
5122023020000
611105141132
71536661541
oct424346760
9161325132
1072470000
11379a8869
122032a7a8
1312024b75
1498a64c8
1565678d5
hex451cdf0

72470000 has 50 divisors (see below), whose sum is σ = 175481328. Its totient is φ = 28984000.

The previous prime is 72469973. The next prime is 72470003. The reversal of 72470000 is 7427.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72470003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6377 + ... + 13623.

Almost surely, 272470000 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 72470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87740664).

72470000 is an abundant number, since it is smaller than the sum of its proper divisors (103011328).

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

72470000 is an equidigital number, since it uses as much as digits as its factorization.

72470000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7275 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 72470000 is about 8512.9313400262. The cubic root of 72470000 is about 416.9200236911.

Adding to 72470000 its reverse (7427), we get a palindrome (72477427).

The spelling of 72470000 in words is "seventy-two million, four hundred seventy 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 7247 10000 14494 28988 36235 57976 72470 115952 144940 181175 289880 362350 579760 724700 905875 1449400 1811750 2898800 3623500 4529375 7247000 9058750 14494000 18117500 36235000 72470000