Search a number
-
+
72310158 = 234479497
BaseRepresentation
bin1000100111101…
…01110110001110
312001001201220000
410103311312032
5122002411113
611101505130
71535424534
oct423656616
9161051800
1072310158
11378a9768
12202721a6
1311c9a19b
149864154
156535373
hex44f5d8e

72310158 has 40 divisors (see below), whose sum is σ = 165493152. Its totient is φ = 23588064.

The previous prime is 72310151. The next prime is 72310187. The reversal of 72310158 is 85101327.

It is a super-3 number, since 3×723101583 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72310151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2866 + ... + 12362.

Almost surely, 272310158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72310158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82746576).

72310158 is an abundant number, since it is smaller than the sum of its proper divisors (93182994).

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

72310158 is a wasteful number, since it uses less digits than its factorization.

72310158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9558 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 72310158 is about 8503.5379695748. The cubic root of 72310158 is about 416.6132742963.

The spelling of 72310158 in words is "seventy-two million, three hundred ten thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 846 1269 2538 3807 7614 9497 18994 28491 56982 85473 170946 256419 446359 512838 769257 892718 1339077 1538514 2678154 4017231 8034462 12051693 24103386 36155079 72310158