Search a number
-
+
72473324 = 227111671409
BaseRepresentation
bin1000101000111…
…01101011101100
312001101000201012
410110131223230
5122023121244
611105204352
71540004330
oct424355354
9161330635
1072473324
1137a00310
12203306b8
1312026531
1498a77c0
15656889e
hex451daec

72473324 has 48 divisors (see below), whose sum is σ = 159183360. Its totient is φ = 28047360.

The previous prime is 72473311. The next prime is 72473327. The reversal of 72473324 is 42337427.

It is not an unprimeable number, because it can be changed into a prime (72473327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50732 + ... + 52140.

It is an arithmetic number, because the mean of its divisors is an integer number (3316320).

Almost surely, 272473324 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 72473324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79591680).

72473324 is an abundant number, since it is smaller than the sum of its proper divisors (86710036).

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

72473324 is a wasteful number, since it uses less digits than its factorization.

72473324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1596 counting only the distinct ones).

The product of its digits is 28224, while the sum is 32.

The square root of 72473324 is about 8513.1265701856. The cubic root of 72473324 is about 416.9263979194.

The spelling of 72473324 in words is "seventy-two million, four hundred seventy-three thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 167 308 334 668 1169 1409 1837 2338 2818 3674 4676 5636 7348 9863 12859 15499 19726 25718 30998 39452 51436 61996 108493 216986 235303 433972 470606 941212 1647121 2588333 3294242 5176666 6588484 10353332 18118331 36236662 72473324