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72023500 = 2253283509
BaseRepresentation
bin1000100101011…
…11110111001100
312000112011200001
410102233313030
5121414223000
611051414044
71533122023
oct422576714
9160464601
1072023500
113772335a
1220154324
1311bc9873
1497cb8ba
1564ca46a
hex44afdcc

72023500 has 48 divisors (see below), whose sum is σ = 158165280. Its totient is φ = 28651200.

The previous prime is 72023489. The next prime is 72023507. The reversal of 72023500 is 532027.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72023507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141246 + ... + 141754.

It is an arithmetic number, because the mean of its divisors is an integer number (3295110).

Almost surely, 272023500 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 72023500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79082640).

72023500 is an abundant number, since it is smaller than the sum of its proper divisors (86141780).

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

72023500 is a wasteful number, since it uses less digits than its factorization.

72023500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 72023500 is about 8486.6660120450. Note that the first 3 decimals coincide. The cubic root of 72023500 is about 416.0620207702.

Adding to 72023500 its reverse (532027), we get a palindrome (72555527).

The spelling of 72023500 in words is "seventy-two million, twenty-three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 283 500 509 566 1018 1132 1415 2036 2545 2830 5090 5660 7075 10180 12725 14150 25450 28300 35375 50900 63625 70750 127250 141500 144047 254500 288094 576188 720235 1440470 2880940 3601175 7202350 14404700 18005875 36011750 72023500