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72070672 = 2437532297
BaseRepresentation
bin1000100101110…
…11011000010000
312000121120101011
410102323120100
5121422230142
611052420304
71533406402
oct422733020
9160546334
1072070672
1137755843
1220177694
1311c1518b
149800b72
1564d9417
hex44bb610

72070672 has 40 divisors (see below), whose sum is σ = 146180376. Its totient is φ = 34384896.

The previous prime is 72070657. The next prime is 72070699. The reversal of 72070672 is 27607027.

It can be written as a sum of positive squares in 4 ways, for example, as 31315216 + 40755456 = 5596^2 + 6384^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30228 + ... + 32524.

Almost surely, 272070672 is an apocalyptic number.

It is an amenable number.

72070672 is an abundant number, since it is smaller than the sum of its proper divisors (74109704).

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

72070672 is a wasteful number, since it uses less digits than its factorization.

72070672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 31.

The square root of 72070672 is about 8489.4447403820. Note that the first 3 decimals coincide. The cubic root of 72070672 is about 416.1528346222.

Adding to 72070672 its reverse (27607027), we get a palindrome (99677699).

The spelling of 72070672 in words is "seventy-two million, seventy thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 37 53 74 106 148 212 296 424 592 848 1961 2297 3922 4594 7844 9188 15688 18376 31376 36752 84989 121741 169978 243482 339956 486964 679912 973928 1359824 1947856 4504417 9008834 18017668 36035336 72070672