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72212256 = 253383579
BaseRepresentation
bin1000100110111…
…01111100100000
312000212202121000
410103131330200
5121441243011
611055432000
71534536234
oct423357440
9160782530
1072212256
1137842156
1220225600
1311c6475c
14983a5c4
156516356
hex44ddf20

72212256 has 48 divisors (see below), whose sum is σ = 210621600. Its totient is φ = 24070464.

The previous prime is 72212213. The next prime is 72212279. The reversal of 72212256 is 65221227.

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

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

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, 40926 + ... + 42653.

It is an arithmetic number, because the mean of its divisors is an integer number (4387950).

Almost surely, 272212256 is an apocalyptic number.

It is an amenable number.

72212256 is an abundant number, since it is smaller than the sum of its proper divisors (138409344).

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

72212256 is a wasteful number, since it uses less digits than its factorization.

72212256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83598 (or 83584 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 72212256 is about 8497.7794746628. The cubic root of 72212256 is about 416.4251693545.

The spelling of 72212256 in words is "seventy-two million, two hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 83579 167158 250737 334316 501474 668632 752211 1002948 1337264 1504422 2005896 2256633 2674528 3008844 4011792 4513266 6017688 8023584 9026532 12035376 18053064 24070752 36106128 72212256