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72032482840 = 23523184742391
BaseRepresentation
bin100001100010101111…
…0000111011000011000
320212221001211021011211
41003011132013120120
52140010303422330
653031414032504
75130014000413
oct1030536073030
9225831737154
1072032482840
112860450555a
1211b63648734
136a3c555b16
1436b4928b7a
151d18c8cd2a
hex10c5787618

72032482840 has 64 divisors (see below), whose sum is σ = 169215298560. Its totient is φ = 27544682880.

The previous prime is 72032482829. The next prime is 72032482843. The reversal of 72032482840 is 4828423027.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 72032482793 and 72032482802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72032482843) 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, 1678045 + ... + 1720435.

It is an arithmetic number, because the mean of its divisors is an integer number (2643989040).

Almost surely, 272032482840 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 72032482840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84607649280).

72032482840 is an abundant number, since it is smaller than the sum of its proper divisors (97182815720).

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

72032482840 is a wasteful number, since it uses less digits than its factorization.

72032482840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44272 (or 44268 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 72032482840 in words is "seventy-two billion, thirty-two million, four hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1847 3694 7388 9235 14776 18470 36940 42391 42481 73880 84782 84962 169564 169924 211955 212405 339128 339848 423910 424810 847820 849620 974993 1695640 1699240 1949986 3899972 4874965 7799944 9749930 19499860 38999720 78296177 156592354 313184708 391480885 626369416 782961770 1565923540 1800812071 3131847080 3601624142 7203248284 9004060355 14406496568 18008120710 36016241420 72032482840