Search a number
-
+
72870992 = 2423712789
BaseRepresentation
bin1000101011111…
…10110001010000
312002010020012122
410111332301100
5122123332432
611121513412
71543251605
oct425766120
9162106178
1072870992
1138152067
12204a2868
131213553c
14996c6ac
1565e6612
hex457ec50

72870992 has 40 divisors (see below), whose sum is σ = 149454720. Its totient is φ = 34348160.

The previous prime is 72870991. The next prime is 72871003. The reversal of 72870992 is 29907827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72870991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24734 + ... + 27522.

It is an arithmetic number, because the mean of its divisors is an integer number (3736368).

Almost surely, 272870992 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 72870992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74727360).

72870992 is an abundant number, since it is smaller than the sum of its proper divisors (76583728).

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

72870992 is a wasteful number, since it uses less digits than its factorization.

72870992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The square root of 72870992 is about 8536.4507847231. The cubic root of 72870992 is about 417.6875789463.

The spelling of 72870992 in words is "seventy-two million, eight hundred seventy thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 46 71 92 142 184 284 368 568 1136 1633 2789 3266 5578 6532 11156 13064 22312 26128 44624 64147 128294 198019 256588 396038 513176 792076 1026352 1584152 3168304 4554437 9108874 18217748 36435496 72870992