Search a number
-
+
72734971224 = 23329821127289
BaseRepresentation
bin100001110111101010…
…1111001010101011000
320221202000200101002010
41003233111321111120
52142430123034344
653225230505520
75153304024456
oct1035725712530
9227660611063
1072734971224
1128934aa4473
121211a9652a0
136b21c56a16
14373dd4d9d6
151d5a7a28b9
hex10ef579558

72734971224 has 64 divisors (see below), whose sum is σ = 188338284000. Its totient is φ = 23380259840.

The previous prime is 72734971217. The next prime is 72734971241. The reversal of 72734971224 is 42217943727.

It is a super-2 number, since 2×727349712242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507772 + ... + 635060.

Almost surely, 272734971224 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 72734971224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94169142000).

72734971224 is an abundant number, since it is smaller than the sum of its proper divisors (115603312776).

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

72734971224 is a wasteful number, since it uses less digits than its factorization.

72734971224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128148 (or 128144 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 48.

The spelling of 72734971224 in words is "seventy-two billion, seven hundred thirty-four million, nine hundred seventy-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 821 1642 2463 3284 4926 6568 9852 19704 23809 47618 71427 95236 127289 142854 190472 254578 285708 381867 509156 571416 763734 1018312 1527468 3054936 3691381 7382762 11074143 14765524 22148286 29531048 44296572 88593144 104504269 209008538 313512807 418017076 627025614 836034152 1254051228 2508102456 3030623801 6061247602 9091871403 12122495204 18183742806 24244990408 36367485612 72734971224