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72070866 = 23272411993
BaseRepresentation
bin1000100101110…
…11011011010010
312000121120122100
410102323123102
5121422231431
611052421230
71533410100
oct422733322
9160546570
1072070866
11377559aa
1220177816
1311c152aa
149800c70
1564d94e6
hex44bb6d2

72070866 has 72 divisors (see below), whose sum is σ = 186171804. Its totient is φ = 20079360.

The previous prime is 72070847. The next prime is 72070879. The reversal of 72070866 is 66807027.

It can be written as a sum of positive squares in 2 ways, for example, as 70207641 + 1863225 = 8379^2 + 1365^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72070866.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35166 + ... + 37158.

Almost surely, 272070866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72070866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93085902).

72070866 is an abundant number, since it is smaller than the sum of its proper divisors (114100938).

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

72070866 is a wasteful number, since it uses less digits than its factorization.

72070866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 72070866 is about 8489.4561663277. The cubic root of 72070866 is about 416.1532080222.

The spelling of 72070866 in words is "seventy-two million, seventy thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 123 126 147 246 287 294 369 441 574 738 861 882 1722 1993 2009 2583 3986 4018 5166 5979 6027 11958 12054 13951 17937 18081 27902 35874 36162 41853 81713 83706 97657 125559 163426 195314 245139 251118 292971 490278 571991 585942 735417 878913 1143982 1470834 1715973 1757826 3431946 4003937 5147919 8007874 10295838 12011811 24023622 36035433 72070866