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72304812 = 2234415443
BaseRepresentation
bin1000100111101…
…00100010101100
312001001110120000
410103310202230
5122002223222
611101424300
71535403126
oct423644254
9161043500
1072304812
11378a5748
122026b090
1311c97918
149862216
1565339ac
hex44f48ac

72304812 has 60 divisors (see below), whose sum is σ = 193664856. Its totient is φ = 23509440.

The previous prime is 72304811. The next prime is 72304819. The reversal of 72304812 is 21840327.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72304811) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10563 + ... + 16005.

Almost surely, 272304812 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 72304812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96832428).

72304812 is an abundant number, since it is smaller than the sum of its proper divisors (121360044).

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

72304812 is a wasteful number, since it uses less digits than its factorization.

72304812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5500 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72304812 is about 8503.2236240146. The cubic root of 72304812 is about 416.6030070922.

The spelling of 72304812 in words is "seventy-two million, three hundred four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 3321 4428 5443 6642 10886 13284 16329 21772 32658 48987 65316 97974 146961 195948 223163 293922 440883 446326 587844 669489 881766 892652 1338978 1763532 2008467 2677956 4016934 6025401 8033868 12050802 18076203 24101604 36152406 72304812