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76725216 = 25321715671
BaseRepresentation
bin1001001001010…
…11101111100000
312100101001012200
410210223233200
5124120201331
611340253200
71621103451
oct444535740
9170331180
1076725216
113a344877
1221841200
1312b84949
14a293128
156b085e6
hex492bbe0

76725216 has 72 divisors (see below), whose sum is σ = 231036624. Its totient is φ = 24069120.

The previous prime is 76725203. The next prime is 76725221. The reversal of 76725216 is 61252767.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

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 11 ways as a sum of consecutive naturals, for example, 2940 + ... + 12731.

It is an arithmetic number, because the mean of its divisors is an integer number (3208842).

Almost surely, 276725216 is an apocalyptic number.

It is an amenable number.

76725216 is an abundant number, since it is smaller than the sum of its proper divisors (154311408).

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

76725216 is a wasteful number, since it uses less digits than its factorization.

76725216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15704 (or 15693 counting only the distinct ones).

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

The square root of 76725216 is about 8759.2931221646. The cubic root of 76725216 is about 424.9254143623.

The spelling of 76725216 in words is "seventy-six million, seven hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 15671 31342 47013 62684 94026 125368 141039 188052 250736 266407 282078 376104 501472 532814 564156 752208 799221 1065628 1128312 1504416 1598442 2131256 2256624 2397663 3196884 4262512 4513248 4795326 6393768 8525024 9590652 12787536 19181304 25575072 38362608 76725216