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72727470 = 23551732
BaseRepresentation
bin1000101010110…
…11101110101110
312001211221100000
410111123232232
5122104234340
611114445130
71542113304
oct425335656
9161757300
1072727470
1138064252
12204337a6
13120b510a
149932274
1565b8d30
hex455bbae

72727470 has 72 divisors (see below), whose sum is σ = 197234856. Its totient is φ = 19281888.

The previous prime is 72727469. The next prime is 72727477. The reversal of 72727470 is 7472727.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72727477) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 420304 + ... + 420476.

It is an arithmetic number, because the mean of its divisors is an integer number (2739373).

Almost surely, 272727470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72727470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98617428).

72727470 is an abundant number, since it is smaller than the sum of its proper divisors (124507386).

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

72727470 is an equidigital number, since it uses as much as digits as its factorization.

72727470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 72727470 is about 8528.0402203554. The cubic root of 72727470 is about 417.4131818950.

The spelling of 72727470 in words is "seventy-two million, seven hundred twenty-seven thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 173 243 270 346 405 486 519 810 865 1038 1215 1557 1730 2430 2595 3114 4671 5190 7785 9342 14013 15570 23355 28026 29929 42039 46710 59858 70065 84078 89787 140130 149645 179574 210195 269361 299290 420390 448935 538722 808083 897870 1346805 1616166 2424249 2693610 4040415 4848498 7272747 8080830 12121245 14545494 24242490 36363735 72727470