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72043145400 = 23352523229583
BaseRepresentation
bin100001100011000011…
…0110010100010111000
320212221210212222110110
41003012012302202320
52140021021123100
653032434344320
75130203426532
oct1030606624270
9225853788413
1072043145400
112860a528496
1211b6712b0a0
136a4181a125
1436b6102852
151d19b97250
hex10c61b28b8

72043145400 has 96 divisors (see below), whose sum is σ = 223761749760. Its totient is φ = 19174688640.

The previous prime is 72043145393. The next prime is 72043145401. The reversal of 72043145400 is 454134027.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72043145401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199009 + ... + 428591.

It is an arithmetic number, because the mean of its divisors is an integer number (2330851560).

Almost surely, 272043145400 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 72043145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111880874880).

72043145400 is an abundant number, since it is smaller than the sum of its proper divisors (151718604360).

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

72043145400 is a wasteful number, since it uses less digits than its factorization.

72043145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230125 (or 230116 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

Adding to 72043145400 its reverse (454134027), we get a palindrome (72497279427).

The spelling of 72043145400 in words is "seventy-two billion, forty-three million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 523 600 1046 1569 2092 2615 3138 4184 5230 6276 7845 10460 12552 13075 15690 20920 26150 31380 39225 52300 62760 78450 104600 156900 229583 313800 459166 688749 918332 1147915 1377498 1836664 2295830 2754996 3443745 4591660 5509992 5739575 6887490 9183320 11479150 13774980 17218725 22958300 27549960 34437450 45916600 68874900 120071909 137749800 240143818 360215727 480287636 600359545 720431454 960575272 1200719090 1440862908 1801078635 2401438180 2881725816 3001797725 3602157270 4802876360 6003595450 7204314540 9005393175 12007190900 14408629080 18010786350 24014381800 36021572700 72043145400