Search a number
-
+
72644420 = 22529251499
BaseRepresentation
bin1000101010001…
…11011101000100
312001200201102002
410111013131010
5122044110140
611113004432
71541316212
oct425073504
9161621362
1072644420
1138007912
12203b3718
1312086384
14990dcb2
15659e415
hex4547744

72644420 has 48 divisors (see below), whose sum is σ = 158760000. Its totient is φ = 27888000.

The previous prime is 72644393. The next prime is 72644443. The reversal of 72644420 is 2444627.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 145331 + ... + 145829.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500).

Almost surely, 272644420 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 72644420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79380000).

72644420 is an abundant number, since it is smaller than the sum of its proper divisors (86115580).

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

72644420 is a wasteful number, since it uses less digits than its factorization.

72644420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 72644420 is about 8523.1695982187. The cubic root of 72644420 is about 417.2542352200.

The spelling of 72644420 in words is "seventy-two million, six hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 251 290 499 502 580 998 1004 1255 1996 2495 2510 4990 5020 7279 9980 14471 14558 28942 29116 36395 57884 72355 72790 125249 144710 145580 250498 289420 500996 626245 1252490 2504980 3632221 7264442 14528884 18161105 36322210 72644420