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69072672 = 2531734159
BaseRepresentation
bin1000001110111…
…11011100100000
311210222020220010
410013133130200
5120140311142
610504244520
71466052024
oct407373440
9153866803
1069072672
1135a98359
121b170740
1311405706
149260384
1560e5e9c
hex41df720

69072672 has 48 divisors (see below), whose sum is σ = 182407680. Its totient is φ = 22885632.

The previous prime is 69072643. The next prime is 69072697. The reversal of 69072672 is 27627096.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 69072672.

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 7 ways as a sum of consecutive naturals, for example, 14529 + ... + 18687.

It is an arithmetic number, because the mean of its divisors is an integer number (3800160).

Almost surely, 269072672 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 69072672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91203840).

69072672 is an abundant number, since it is smaller than the sum of its proper divisors (113335008).

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

69072672 is a wasteful number, since it uses less digits than its factorization.

69072672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 69072672 is about 8310.9970520991. The cubic root of 69072672 is about 410.3005371328.

The spelling of 69072672 in words is "sixty-nine million, seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 1038 1384 2076 2768 4152 4159 5536 8304 8318 12477 16608 16636 24954 33272 49908 66544 99816 133088 199632 399264 719507 1439014 2158521 2878028 4317042 5756056 8634084 11512112 17268168 23024224 34536336 69072672