Search a number
-
+
72534444 = 223171073323
BaseRepresentation
bin1000101001011…
…00100110101100
312001111010112220
410110230212230
5122032100234
611110355340
71540350453
oct424544654
9161433486
1072534444
1137a42224
122035bb50
13120482b8
1498c1b9a
15657ba49
hex452c9ac

72534444 has 48 divisors (see below), whose sum is σ = 180931968. Its totient is φ = 22536448.

The previous prime is 72534443. The next prime is 72534487. The reversal of 72534444 is 44443527.

It is a super-2 number, since 2×725344442 = 10522491132778272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72534443) 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, 20167 + ... + 23489.

It is an arithmetic number, because the mean of its divisors is an integer number (3769416).

Almost surely, 272534444 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 72534444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90465984).

72534444 is an abundant number, since it is smaller than the sum of its proper divisors (108397524).

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

72534444 is a wasteful number, since it uses less digits than its factorization.

72534444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 3452 counting only the distinct ones).

The product of its digits is 53760, while the sum is 33.

The square root of 72534444 is about 8516.7155641127. The cubic root of 72534444 is about 417.0435692217.

The spelling of 72534444 in words is "seventy-two million, five hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 107 204 214 321 428 642 1284 1819 3323 3638 5457 6646 7276 9969 10914 13292 19938 21828 39876 56491 112982 169473 225964 338946 355561 677892 711122 1066683 1422244 2133366 4266732 6044537 12089074 18133611 24178148 36267222 72534444