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72868824 = 23327163887
BaseRepresentation
bin1000101011111…
…10001111011000
312002010010020100
410111332033120
5122123300244
611121455400
71543242360
oct425761730
9162103210
1072868824
1138150476
12204a1560
1312134562
14996b9a0
1565e5b69
hex457e3d8

72868824 has 96 divisors (see below), whose sum is σ = 227185920. Its totient is φ = 20668608.

The previous prime is 72868823. The next prime is 72868837. The reversal of 72868824 is 42886827.

It is a happy number.

It is a super-2 number, since 2×728688242 = 10619731022285952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72868824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72868823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81709 + ... + 82595.

It is an arithmetic number, because the mean of its divisors is an integer number (2366520).

Almost surely, 272868824 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 72868824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113592960).

72868824 is an abundant number, since it is smaller than the sum of its proper divisors (154317096).

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

72868824 is a wasteful number, since it uses less digits than its factorization.

72868824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1062 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 72868824 is about 8536.3237989195. The cubic root of 72868824 is about 417.6834366686.

It can be divided in two parts, 7286 and 8824, that added together give a triangular number (16110 = T179).

The spelling of 72868824 in words is "seventy-two million, eight hundred sixty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 163 168 252 326 489 504 652 887 978 1141 1304 1467 1774 1956 2282 2661 2934 3423 3548 3912 4564 5322 5868 6209 6846 7096 7983 9128 10269 10644 11736 12418 13692 15966 18627 20538 21288 24836 27384 31932 37254 41076 49672 55881 63864 74508 82152 111762 144581 149016 223524 289162 433743 447048 578324 867486 1012067 1156648 1301229 1734972 2024134 2602458 3036201 3469944 4048268 5204916 6072402 8096536 9108603 10409832 12144804 18217206 24289608 36434412 72868824