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72446076 = 2235731021
BaseRepresentation
bin1000101000101…
…11000001111100
312001022122100000
410110113001330
5122021233301
611104434300
71536532023
oct424270174
9161278300
1072446076
113799189a
1220318990
1312017001
14989b8ba
156560786
hex451707c

72446076 has 72 divisors (see below), whose sum is σ = 192700144. Its totient is φ = 23794560.

The previous prime is 72446063. The next prime is 72446093. The reversal of 72446076 is 67064427.

72446076 is a `hidden beast` number, since 7 + 2 + 44 + 607 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72446076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70446 + ... + 71466.

Almost surely, 272446076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72446076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96350072).

72446076 is an abundant number, since it is smaller than the sum of its proper divisors (120254068).

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

72446076 is a wasteful number, since it uses less digits than its factorization.

72446076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 72446076 is about 8511.5260676332. The cubic root of 72446076 is about 416.8741403718.

The spelling of 72446076 in words is "seventy-two million, four hundred forty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 243 292 324 438 486 657 876 972 1021 1314 1971 2042 2628 3063 3942 4084 5913 6126 7884 9189 11826 12252 17739 18378 23652 27567 35478 36756 55134 70956 74533 82701 110268 149066 165402 223599 248103 298132 330804 447198 496206 670797 894396 992412 1341594 2012391 2683188 4024782 6037173 8049564 12074346 18111519 24148692 36223038 72446076