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72216887824 = 242341272
BaseRepresentation
bin100001101000001110…
…1100100001000010000
320220101220211000021001
41003100131210020100
52140400010402244
653102002311344
75134413263314
oct1032035441020
9226356730231
1072216887824
1128699606774
1211bb5358554
136a6b80c9b3
1436d120bb44
151d2a0665d4
hex10d0764210

72216887824 has 75 divisors (see below), whose sum is σ = 147441089487. Its totient is φ = 34266554784.

The previous prime is 72216887803. The next prime is 72216887857. The reversal of 72216887824 is 42878861227.

The square root of 72216887824 is 268732.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 568636849 + ... + 568636975.

Almost surely, 272216887824 is an apocalyptic number.

72216887824 is the 268732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72216887824

72216887824 is an abundant number, since it is smaller than the sum of its proper divisors (75224201663).

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

72216887824 is an frugal number, since it uses more digits than its factorization.

72216887824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 152 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 55.

The spelling of 72216887824 in words is "seventy-two billion, two hundred sixteen million, eight hundred eighty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 127 184 254 368 508 529 1016 1058 2032 2116 2921 4232 5842 8464 11684 12167 16129 23368 24334 32258 46736 48668 64516 67183 97336 129032 134366 194672 258064 268732 279841 370967 537464 559682 741934 1074928 1119364 1483868 1545209 2238728 2967736 3090418 4477456 5935472 6180836 8532241 12361672 17064482 24723344 34128964 35539807 68257928 71079614 136515856 142159228 196241543 284318456 392483086 568636912 784966172 1569932344 3139864688 4513555489 9027110978 18054221956 36108443912 72216887824