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72221443644 = 22375364325229
BaseRepresentation
bin100001101000010111…
…0111100011000111100
320220102020101110200010
41003100232330120330
52140402142144034
653102244103220
75134500066510
oct1032056743074
9226366343603
1072221443644
11286a1138609
1211bb6994b10
136a6c74654c
1436d1a76140
151d2a6663e9
hex10d0bbc63c

72221443644 has 96 divisors (see below), whose sum is σ = 196537259520. Its totient is φ = 20213077248.

The previous prime is 72221443639. The next prime is 72221443649. The reversal of 72221443644 is 44634412227.

It is an interprime number because it is at equal distance from previous prime (72221443639) and next prime (72221443649).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72221443649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2850022 + ... + 2875250.

It is an arithmetic number, because the mean of its divisors is an integer number (2047263120).

Almost surely, 272221443644 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 72221443644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98268629760).

72221443644 is an abundant number, since it is smaller than the sum of its proper divisors (124315815876).

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

72221443644 is a wasteful number, since it uses less digits than its factorization.

72221443644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25939 (or 25937 counting only the distinct ones).

The product of its digits is 258048, while the sum is 39.

The spelling of 72221443644 in words is "seventy-two billion, two hundred twenty-one million, four hundred forty-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 643 742 1113 1286 1484 1929 2226 2572 3858 4452 4501 7716 9002 13503 18004 25229 27006 34079 50458 54012 68158 75687 100916 102237 136316 151374 176603 204474 238553 302748 353206 408948 477106 529809 706412 715659 954212 1059618 1337137 1431318 2119236 2674274 2862636 4011411 5348548 8022822 9359959 16045644 16222247 18719918 28079877 32444494 37439836 48666741 56159754 64888988 97333482 112319508 113555729 194666964 227111458 340667187 454222916 681334374 859779091 1362668748 1719558182 2579337273 3439116364 5158674546 6018453637 10317349092 12036907274 18055360911 24073814548 36110721822 72221443644