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72146656 = 256833301
BaseRepresentation
bin1000100110011…
…01111011100000
312000202102121101
410103031323200
5121432143111
611054204144
71534144051
oct423157340
9160672541
1072146656
11377a793a
12201b3654
1311c4093a
149820728
156501bc1
hex44cdee0

72146656 has 24 divisors (see below), whose sum is σ = 142289784. Its totient is φ = 36009600.

The previous prime is 72146639. The next prime is 72146689. The reversal of 72146656 is 65664127.

It is a happy number.

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 3 ways as a sum of consecutive naturals, for example, 20206 + ... + 23506.

It is an arithmetic number, because the mean of its divisors is an integer number (5928741).

Almost surely, 272146656 is an apocalyptic number.

It is an amenable number.

72146656 is a deficient number, since it is larger than the sum of its proper divisors (70143128).

72146656 is a wasteful number, since it uses less digits than its factorization.

72146656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3986 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 72146656 is about 8493.9187657994. The cubic root of 72146656 is about 416.2990330224.

The spelling of 72146656 in words is "seventy-two million, one hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 683 1366 2732 3301 5464 6602 10928 13204 21856 26408 52816 105632 2254583 4509166 9018332 18036664 36073328 72146656