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72754902 = 23311532311
BaseRepresentation
bin1000101011000…
…10011011010110
312001220022222000
410111202123112
5122111124102
611115220130
71542256263
oct425423326
9161808860
1072754902
1138082920
1220447646
13120c474c
14993c26a
1565c201c
hex45626d6

72754902 has 64 divisors (see below), whose sum is σ = 179781120. Its totient is φ = 21621600.

The previous prime is 72754889. The next prime is 72754943. The reversal of 72754902 is 20945727.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30327 + ... + 32637.

It is an arithmetic number, because the mean of its divisors is an integer number (2809080).

Almost surely, 272754902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72754902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89890560).

72754902 is an abundant number, since it is smaller than the sum of its proper divisors (107026218).

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

72754902 is a wasteful number, since it uses less digits than its factorization.

72754902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 72754902 is about 8529.6484101046. The cubic root of 72754902 is about 417.4656565150.

The spelling of 72754902 in words is "seventy-two million, seven hundred fifty-four thousand, nine hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 159 198 297 318 477 583 594 954 1166 1431 1749 2311 2862 3498 4622 5247 6933 10494 13866 15741 20799 25421 31482 41598 50842 62397 76263 122483 124794 152526 228789 244966 367449 457578 686367 734898 1102347 1347313 1372734 2204694 2694626 3307041 4041939 6614082 8083878 12125817 24251634 36377451 72754902