Search a number
-
+
72344472 = 23337257317
BaseRepresentation
bin1000100111111…
…10001110011000
312001010110221220
410103332032120
5122010010342
611102332040
71535626554
oct423761630
9161113856
1072344472
1137922522
122028a020
1311cac9a5
149872864
1565405ec
hex44fe398

72344472 has 64 divisors (see below), whose sum is σ = 187060320. Its totient is φ = 23298048.

The previous prime is 72344449. The next prime is 72344477. The reversal of 72344472 is 27444327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72344477) 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, 228058 + ... + 228374.

Almost surely, 272344472 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 72344472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93530160).

72344472 is an abundant number, since it is smaller than the sum of its proper divisors (114715848).

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

72344472 is a wasteful number, since it uses less digits than its factorization.

72344472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 616 counting only the distinct ones).

The product of its digits is 37632, while the sum is 33.

The square root of 72344472 is about 8505.5553610567. Note that the first 3 decimals coincide. The cubic root of 72344472 is about 416.6791636430.

Adding to 72344472 its reverse (27444327), we get a palindrome (99788799).

The spelling of 72344472 in words is "seventy-two million, three hundred forty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 257 296 317 444 514 634 771 888 951 1028 1268 1542 1902 2056 2536 3084 3804 6168 7608 9509 11729 19018 23458 28527 35187 38036 46916 57054 70374 76072 81469 93832 114108 140748 162938 228216 244407 281496 325876 488814 651752 977628 1955256 3014353 6028706 9043059 12057412 18086118 24114824 36172236 72344472