Search a number
-
+
72857358 = 232773892
BaseRepresentation
bin1000101011110…
…11011100001110
312002002112111200
410111323130032
5122122413413
611121330330
71543164060
oct425733416
9162075450
1072857358
11381428a2
12204969a6
131212c282
149967730
1565e2573
hex457b70e

72857358 has 72 divisors (see below), whose sum is σ = 184957968. Its totient is φ = 20300544.

The previous prime is 72857357. The next prime is 72857377. The reversal of 72857358 is 85375827.

72857358 is a `hidden beast` number, since 7 + 28 + 573 + 58 = 666.

It is a super-2 number, since 2×728573582 = 10616389229480328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72857357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 818578 + ... + 818666.

Almost surely, 272857358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72857358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92478984).

72857358 is an abundant number, since it is smaller than the sum of its proper divisors (112100610).

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

72857358 is a wasteful number, since it uses less digits than its factorization.

72857358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 174 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 72857358 is about 8535.6521719198. The cubic root of 72857358 is about 417.6615278502.

The spelling of 72857358 in words is "seventy-two million, eight hundred fifty-seven thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 89 126 146 178 219 267 438 511 534 623 657 801 1022 1246 1314 1533 1602 1869 3066 3738 4599 5607 6497 7921 9198 11214 12994 15842 19491 23763 38982 45479 47526 55447 58473 71289 90958 110894 116946 136437 142578 166341 272874 332682 409311 499023 578233 818622 998046 1156466 1734699 3469398 4047631 5204097 8095262 10408194 12142893 24285786 36428679 72857358