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72216020 = 22523315497
BaseRepresentation
bin1000100110111…
…10110111010100
312000212221202102
410103132313110
5121441403040
611055501232
71534553222
oct423366724
9160787672
1072216020
1137844a68
1220227818
1311c66396
14983bb12
156517515
hex44dedd4

72216020 has 24 divisors (see below), whose sum is σ = 152314344. Its totient is φ = 28760576.

The previous prime is 72216013. The next prime is 72216029. The reversal of 72216020 is 2061227.

It can be written as a sum of positive squares in 4 ways, for example, as 14638276 + 57577744 = 3826^2 + 7588^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 72215983 and 72216001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72216029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3089 + ... + 12408.

It is an arithmetic number, because the mean of its divisors is an integer number (6346431).

Almost surely, 272216020 is an apocalyptic number.

It is an amenable number.

72216020 is an abundant number, since it is smaller than the sum of its proper divisors (80098324).

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

72216020 is a wasteful number, since it uses less digits than its factorization.

72216020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15739 (or 15737 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 72216020 is about 8498.0009413979. Note that the first 3 decimals coincide. The cubic root of 72216020 is about 416.4324044934.

Adding to 72216020 its reverse (2061227), we get a palindrome (74277247).

The spelling of 72216020 in words is "seventy-two million, two hundred sixteen thousand, twenty".

Divisors: 1 2 4 5 10 20 233 466 932 1165 2330 4660 15497 30994 61988 77485 154970 309940 3610801 7221602 14443204 18054005 36108010 72216020