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72434574 = 23419101233
BaseRepresentation
bin1000101000101…
…00001110001110
312001022001120000
410110110032032
5122020401244
611104305130
71536453342
oct424241616
9161261500
1072434574
1137984193
12203121a6
13120119c4
149897622
15655c169
hex451438e

72434574 has 80 divisors (see below), whose sum is σ = 173281680. Its totient is φ = 22550400.

The previous prime is 72434573. The next prime is 72434587. The reversal of 72434574 is 47543427.

It is a super-2 number, since 2×724345742 = 10493535021122952, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72434573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 310762 + ... + 310994.

It is an arithmetic number, because the mean of its divisors is an integer number (2166021).

Almost surely, 272434574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72434574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86640840).

72434574 is an abundant number, since it is smaller than the sum of its proper divisors (100847106).

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

72434574 is a wasteful number, since it uses less digits than its factorization.

72434574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 358 counting only the distinct ones).

The product of its digits is 94080, while the sum is 36.

The square root of 72434574 is about 8510.8503687939. The cubic root of 72434574 is about 416.8520773405.

The spelling of 72434574 in words is "seventy-two million, four hundred thirty-four thousand, five hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 101 114 162 171 202 233 303 342 466 513 606 699 909 1026 1398 1539 1818 1919 2097 2727 3078 3838 4194 4427 5454 5757 6291 8181 8854 11514 12582 13281 16362 17271 18873 23533 26562 34542 37746 39843 47066 51813 70599 79686 103626 119529 141198 155439 211797 239058 310878 358587 423594 447127 635391 717174 894254 1270782 1341381 1906173 2682762 3812346 4024143 8048286 12072429 24144858 36217287 72434574