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72740256 = 253757711
BaseRepresentation
bin1000101010111…
…10110110100000
312001212120212120
410111132312200
5122110142011
611115024240
71542165501
oct425366640
9161776776
1072740256
1138072916
122043b080
13120bab94
149936ba8
1565bca06
hex455eda0

72740256 has 24 divisors (see below), whose sum is σ = 190943424. Its totient is φ = 24246720.

The previous prime is 72740231. The next prime is 72740267. The reversal of 72740256 is 65204727.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×727402562 = 10582289685891072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 378760 + ... + 378951.

It is an arithmetic number, because the mean of its divisors is an integer number (7955976).

Almost surely, 272740256 is an apocalyptic number.

It is an amenable number.

72740256 is an abundant number, since it is smaller than the sum of its proper divisors (118203168).

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

72740256 is a wasteful number, since it uses less digits than its factorization.

72740256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757724 (or 757716 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 72740256 is about 8528.7898320922. The cubic root of 72740256 is about 417.4376418513.

The spelling of 72740256 in words is "seventy-two million, seven hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 757711 1515422 2273133 3030844 4546266 6061688 9092532 12123376 18185064 24246752 36370128 72740256