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72231520 = 2553471301
BaseRepresentation
bin1000100111000…
…10101001100000
312000220202000111
410103202221200
5121442402040
611100101104
71534646344
oct423425140
9160822014
1072231520
1137855679
1220234794
1311c7045a
149843624
15651bdea
hex44e2a60

72231520 has 48 divisors (see below), whose sum is σ = 171270288. Its totient is φ = 28787200.

The previous prime is 72231499. The next prime is 72231539. The reversal of 72231520 is 2513227.

It is a junction number, because it is equal to n+sod(n) for n = 72231491 and 72231500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54870 + ... + 56170.

It is an arithmetic number, because the mean of its divisors is an integer number (3568131).

Almost surely, 272231520 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 72231520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85635144).

72231520 is an abundant number, since it is smaller than the sum of its proper divisors (99038768).

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

72231520 is a wasteful number, since it uses less digits than its factorization.

72231520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 72231520 is about 8498.9128716560. The cubic root of 72231520 is about 416.4621958542.

Adding to 72231520 its reverse (2513227), we get a palindrome (74744747).

The spelling of 72231520 in words is "seventy-two million, two hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 347 694 1301 1388 1735 2602 2776 3470 5204 5552 6505 6940 10408 11104 13010 13880 20816 26020 27760 41632 52040 55520 104080 208160 451447 902894 1805788 2257235 3611576 4514470 7223152 9028940 14446304 18057880 36115760 72231520